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ve 16 sayılarının EKOK'u 48'dir, bu nedenle kesirler 48'e eşitlenmelidir."]},"beginTime":333,"endTime":421,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=333&ask_summarization=1"},{"index":4,"title":"Dikdörtgen Alanı ve Çevre","list":{"type":"unordered","items":["Bir dikdörtgen tarlanın alanı 77 metrekare ve kenar uzunlukları asal sayılar ise, kısa kenar 7 metre, uzun kenar 11 metredir.","Tarlanın çevresi (11+7)×2=36 metredir."]},"beginTime":421,"endTime":516,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=421&ask_summarization=1"},{"index":5,"title":"Asal Sayılarla İlgili Soru","list":{"type":"unordered","items":["Soruda altı ve on kayıt yaptıran öğrencilerin numaraları asal sayılar olarak belirleniyor.","Asal sayılar sıralanarak altı kayıt yaptıran öğrencinin numarası 13, on kayıt yaptıran öğrencinin numarası 29 olarak bulunuyor.","İki öğrencinin numaralarının toplamı 42 olarak hesaplanıyor."]},"beginTime":520,"endTime":615,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=520&ask_summarization=1"},{"index":6,"title":"Asal Çarpanlarla İlgili Soru","list":{"type":"unordered","items":["Soruda asal çarpanlarına ayrılmış iki sayı veriliyor ve toplamları soruluyor.","A sayısı 60, B sayısı 210 olarak hesaplanıyor.","A+B toplamı 270 olarak bulunuyor."]},"beginTime":615,"endTime":656,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=615&ask_summarization=1"},{"index":7,"title":"EBOB ve EKOK Sorusu","list":{"type":"unordered","items":["12 ile 18 sayılarının en küçük ortak katı (EKOK) 36, en büyük ortak böleni (EBOB) 6 olarak bulunuyor.","EKOK ile EBOB arasındaki fark 30 olarak hesaplanıyor."]},"beginTime":656,"endTime":747,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=656&ask_summarization=1"},{"index":8,"title":"Asal Sayılarla İlgili Uygulama Sorusu","list":{"type":"unordered","items":["Tonguç'un ayın asal sayı günlerinde iki kat, diğer günlerde normal harçlık aldığını belirtiyor.","Ayın 12'sinde 5 TL alındığı için normal günlerde 5 TL, asal günlerde 10 TL alınmış oluyor.","Ayın 10 asal gününde 100 TL, 20 normal gününde 100 TL toplam 200 TL kazanılmış oluyor."]},"beginTime":747,"endTime":852,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=747&ask_summarization=1"},{"index":9,"title":"Kuruyemiş Dükkanı Sorusu","list":{"type":"unordered","items":["Bir kuruyemiş dükkanı 40 kg fındık ve 35 kg badem satın almış.","Kuruyemişler birbirine karıştırmadan eşit ağırlıkta poşetlere konulacak.","Poşetler 1 kg veya 7 kg olabilir, en az poşet sayısını elde etmek için 7 kg poşetler kullanılmalı.","7 kg poşetler kullanıldığında toplam 11 poşet gerekiyor."]},"beginTime":852,"endTime":986,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=852&ask_summarization=1"},{"index":10,"title":"Nöbet Tutma Sorusu","list":{"type":"unordered","items":["Doktor Tankut Bey 6 günde bir, hemşire Tongu 8 günde bir nöbet tutuyor.","İkisi birlikte ilk nöbetlerini Perşembe günü tuttuklarına göre, bir sonraki nöbetlerini 24 gün sonra tutacaklar.","24 gün sonra Perşembe'den itibaren 3 gün ilerleyince Pazar gününe denk geliyor, bu nedenle bir sonraki nöbetlerini Pazar günü tutacaklar."]},"beginTime":986,"endTime":1106,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=986&ask_summarization=1"},{"index":11,"title":"Ölçme Problemi Çözümü","list":{"type":"unordered","items":["Ahmet ve Mehmet, A ile B arasındaki mesafeyi kendi şeritleriyle tam olarak ölçebilmektedirler.","Ahmet 15 cm, Mehmet 20 cm şeritleriyle ölçebiliyorsa, A ile B arasındaki mesafe 15 ve 20'nin ortak katı olmalıdır.","15 ve 20'nin ortak katları arasında 60 cm bulunur ve bu da doğru cevaptır."]},"beginTime":1108,"endTime":1195,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1108&ask_summarization=1"},{"index":12,"title":"Sınıf Mevcudu Problemi","list":{"type":"unordered","items":["Birinci sınıftaki öğrenciler beden eğitimi dersinde hem 3'erli hem de 4'erli şekilde sıra olabilmektedirler.","Bu durumda sınıf mevcudu hem 3'e hem de 4'e bölünebilmelidir.","3 ve 4'ün ortak katları arasında 48 bulunur ve bu da doğru cevaptır."]},"beginTime":1195,"endTime":1293,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1195&ask_summarization=1"},{"index":13,"title":"Ödüllü Soru","list":{"type":"unordered","items":["Video sonunda bir ödüllü soru sunulmaktadır.","İzleyicilerden sorunun cevabını yorumlara yazmaları istenmektedir."]},"beginTime":1293,"endTime":1301,"href":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1293&ask_summarization=1"}],"linkTemplate":"/video/preview/8711821477755334823?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"6. 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our ladies, we're excited to introduce the NEW Women's Classic Collection. A timeless classic t-shirt that is actually Made in America for only $20! Get yours today...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4375916/6592a3b388303bc66e4b597fe8b3f16c/564x318_1"},"target":"_self","position":"3","reqid":"1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWvY256sdyjY","linkTemplate":"/video/preview/5842398398326843537?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ACAL Women's Classic Collection","related_orig_text":"ACal","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"ACal\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WvY256sdyjY\",\"src\":\"serp\",\"rvb\":\"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_ExuCBCQBgAQrKosBEAEaeIH3_vwA_gMABAAFBwEI_AL4DAD6-f39AP4OAAEFBf4A9wj8AQAAAAD2EAfzAAAAAPj6-w___wAAGgL79QMAAAANCAYD_AAAAAb9AwAHAAAA_Pv99wIAAAAJCg0JAAAAAPgAAAIG-v8B9fjzCQAAAAAL9QUNAAAAACAALQBT2zs4E0AJSE5QAipzEAAaYBEVADN_NSm0D0j91N3wEesZEOr65Sv_JkL_9OUA2fwb5cnJGP__tQD1owAAAAodAgomANR9wRDzEez2FNaq7t0uf_MT_TD7RgdNTzoD9voLQwT7dgDaAMLzu80oRfU4MyAALdqxEjs4E0AJSG9QAiqvBhAMGqAGAADgQQAAgD8AAIJCAAAAwAAAoMIAAFDCAADQwQAAcMEAAEDAAABYwgAAMMEAABxCAABswgAAgMAAAARCAACWQgAAmsIAANBBAADAQAAAAMAAAKBAAAA0wgAAbMIAAABCAACAvwAABEIAAODBAABAQQAA-EEAAEDBAAAQwQAAAMAAAAhCAACyQgAA4EAAALjBAACoQQAAREIAAAzCAAAIQgAAKMIAAOBAAABUQgAAHEIAACBBAADQQQAA6MEAAHDBAACWQgAA4EEAAITCAADwQQAAoMEAAPDBAAAAwQAAcEEAANDBAADYwQAAvMIAAMBBAACAQAAAAMIAAATCAAAgwgAAYMEAACDBAADYQQAA2MEAAMLCAACAQQAAmEEAAARCAADuwgAAgEEAAKBBAADYwQAA4MAAAIDBAACwQQAAXEIAACDBAACgwAAAYMEAAEDCAAAQwgAAuMEAAABBAACAPwAA_kIAABzCAADAwQAA4MEAACxCAADQQQAA0MEAALBBAAAgQgAAAMIAAHzCAACwQQAAGEIAAGhCAADQwQAAFMIAAOBAAABAwQAAoMEAAADAAAA4wgAAtkIAAFTCAAAQQgAAmMEAAATCAABwQgAAgEAAAOhBAACIQQAABEIAAIDAAACEQgAAPEIAANhBAACgwAAA8EEAAFRCAAAwQQAAEEEAACBBAABQwgAAMEIAAEDBAAAkwgAAcMEAAKhBAACgwAAAkEEAAJLCAADgwQAA6MEAAABBAADQQQAA4MEAAABCAACgwAAAxEIAAIA_AADowQAAcEEAAATCAABAwQAArEIAAEzCAACIwgAATEIAAIjBAAAowgAAsMEAAABCAAAYQgAA-MEAAABCAAAAQgAAUMEAAODBAAAwwgAAHEIAAODAAABUQgAAAMEAAOhBAABcwgAAgD8AAJBBAAAIQgAAmsIAAEBAAADgwQAAfEIAAJhBAABwQgAAKEIAANLCAACQwgAAMMEAAJJCAACYwQAAFEIAAEBBAACgQAAAgL8AAOjBAABQQgAAgEAAAKjCAACOwgAAOMIAAIA_AAAgQQAACMIgADgTQAlIdVABKo8CEAAagAIAADQ-AADoPQAA2L0AAP4-AAC4vQAAmL0AAOo-AADOvgAABD4AAGw-AACgvAAAqL0AABQ-AACuPgAAMD0AAGw-AABkPgAA6D0AAP4-AABTPwAAfz8AAKq-AABAPAAA2L0AAFC9AADIPQAAlr4AAOC8AABMvgAA5j4AADA9AAAkPgAAJL4AAIK-AAAkvgAAPL4AAJK-AABsvgAA4r4AADw-AADgvAAAFL4AANo-AACaPgAAgr4AAOC8AAAsvgAA_r4AAHy-AACgPAAAVL4AAAM_AAAsPgAAML0AAL6-AAB8PgAASz8AAPg9AAAHPwAALL4AABC9AAAEvgAABL4AAPK-IAA4E0AJSHxQASqPAhABGoACAACYvQAAMD0AAFS-AABJvwAAEL0AANg9AADgvAAAmL0AADy-AACyPgAAcD0AADy-AADgPAAA2r4AAIi9AABAPAAA2D0AAE8_AAAwPQAABD4AAAS-AAD4PQAApj4AAKg9AACovQAAfD4AAKq-AABQPQAAMD0AADS-AADgPAAAcD0AAMi9AACOvgAAyL0AAOi9AADIPQAANL4AAHS-AACGvgAAUL0AAFQ-AACavgAAuL0AABA9AABcPgAAf78AABy-AABwPQAAQDwAAII-AABMvgAAML0AAGw-AADgPAAAQLwAAFA9AAC4PQAAiL0AAOi9AAAMPgAAMD0AAHA9AAB0viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WvY256sdyjY","parent-reqid":"1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["5842398398326843537"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18282035933627350769":{"videoId":"18282035933627350769","docid":"12-0-17-Z77D0E3C8FE33CC36","description":"tonguçCUP 1.Sezon devam ediyor! 🎉 Bugün #Matematik dersinin \"EBOB - EKOK - Aralarında Asal Sayılar\" konusu ile 2025 LGS'ye adım atıyoruz. 🙌 Ayrıca sene boyunca canlı yayınlar, yeni nesil soru...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3778624/bc79ee8b994d31bf22bdcf1c41316daa/564x318_1"},"target":"_self","position":"5","reqid":"1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=videoid:18282035933627350769","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin öğrencilere EBOB (En Büyük Ortak Bölen), EKOK (En Küçük Ortak Kat) ve aralarında asallık konularını anlattığı eğitim içeriğidir. Öğretmen, Kerem ve Tonguç adlı öğrencilerle etkileşim halindedir.","Video, EBOB ve EKOK kavramlarının tanımıyla başlayıp, asal çarpanlara ayırma yöntemiyle bu kavramların nasıl hesaplanacağını adım adım göstermektedir. Ardından aralarında asal sayılar kavramı, özellikleri ve örnekleri detaylı şekilde anlatılmakta, son olarak çarpanlar konusuna geçilmektedir. Video, LGS benzeri sorular ve günlük yaşamdan örneklerle desteklenen problem çözümleriyle devam etmektedir.","Videoda ayrıca EBOB-EKOK'un çarpımı sayıların çarpımına eşit olması, birbirinin katı olan sayıların EBOB ve EKOK özellikleri ve asal sayıların EBOB'unun 1 olması gibi önemli konular örneklerle açıklanmaktadır. Video, öğrencilere ödev verilerek ve ödüllü bir soru ile sonlanmaktadır."]},"endTime":1782,"title":"Matematik Dersi: EBOB, EKOK ve Aralarında Asallık","beginTime":0}],"fullResult":[{"index":0,"title":"EBOB ve EKOK Konusuna Giriş","list":{"type":"unordered","items":["İkinci matematik konusu EBOB (En Büyük Ortak Bölen) ve EKOK (En Küçük Ortak Kat) ile aralarında asallık kavramlarını içerecek.","Konu, altıncı sınıfta öğrenilen ortak bölen ve ortak kat kavramlarının devamı olarak ele alınacak.","Konunun anahtar kavramları asal sayı, aralarında asallık, EBOB ve EKOK olacak."]},"beginTime":0,"endTime":56,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=0&ask_summarization=1"},{"index":1,"title":"Tonguç Kap","list":{"type":"unordered","items":["Tonguç Kap birinci sezonu başladı ve öğrenciler Tonguç Kademi.com'da takımlarını belirleyebilir.","Öğrencilerin yapması gereken üç görev: konu anlatımını izlemek, meydan okuma testini çözmek ve video ödevlerini yapmak.","Tonguç LGS kanalında her gün bir video ve programlı ödevler sunuluyor."]},"beginTime":56,"endTime":134,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=56&ask_summarization=1"},{"index":2,"title":"Ortak Bölen ve EBOB","list":{"type":"unordered","items":["Altıncı sınıfta ortak bölen ve ortak kat kavramları öğrenilmişti.","Ortak bölenler, iki veya daha fazla sayıyı aynı anda bölen sayılardır.","En büyük ortak bölen (EBOB), iki veya daha fazla sayının ortak bölenlerinin en büyüğüdür."]},"beginTime":134,"endTime":234,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=134&ask_summarization=1"},{"index":3,"title":"Ortak Kat ve EKOK","list":{"type":"unordered","items":["Ortak katlar, iki veya daha fazla sayının ortak katlarıdır.","En küçük ortak kat (EKOK), iki veya daha fazla sayının ortak katlarının en küçüğüdür.","Altıncı sınıfta sadece ortak bölen ve ortak kat kavramları öğrenilmişti, büyüklüklerini hesaplamak yorucu oluyordu."]},"beginTime":234,"endTime":317,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=234&ask_summarization=1"},{"index":4,"title":"EBOB Bulma Yöntemi","list":{"type":"unordered","items":["EBOB bulmak için \"TO Eren Bey\" metodu kullanılır: sayılar yan yana yazılır ve en sağdakinin yanına çizgi çekilir.","Asal sayılar kullanılarak sayılar bölünür ve her iki sayıyı da aynı anda bölen asal sayılar yıldızlanır.","EBOB, yıldızlanan asal sayıların çarpımıdır."]},"beginTime":317,"endTime":464,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=317&ask_summarization=1"},{"index":5,"title":"EKOK Bulma Yöntemi","list":{"type":"unordered","items":["EKOK bulmak için aynı yöntem kullanılır, ancak yıldızlanan asal sayılar değil, tüm asal sayılar çarpılır.","EKOK, tüm asal sayıların çarpımıdır.","EKOK, üslü gösterim şeklinde de yazılabilir."]},"beginTime":464,"endTime":541,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=464&ask_summarization=1"},{"index":6,"title":"EBOB ve EKOK Kavramları","list":{"type":"unordered","items":["EBOB (En Büyük Ortak Bölen), iki sayıyı da bölebilen ortak bir bölendir ve genellikle sayılardan daha küçük veya eşittir.","EKOK (En Küçük Ortak Kat), sayıdan genellikle daha büyük veya eşittir çünkü sayıdan kat olarak bulunur.","EBOB, ortak asal bölenlerin çarpımıdır; EKOK ise tüm bölenlerin çarpımıdır."]},"beginTime":547,"endTime":696,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=547&ask_summarization=1"},{"index":7,"title":"EBOB ve EKOK Örnekleri","list":{"type":"unordered","items":["35 ve 42'nin EBOB'u 7, EKOK'u 210'dur ve bunların toplamı 217'dir.","EBOB ve EKOK problemlerini çözmek için matematiksel işlem yeteneği gibi temel matematik bilgisi gereklidir.","EBOB ve EKOK hesaplamalarında algoritma takip edilerek işlem hatası yapılmadan sonuca ulaşılabilir."]},"beginTime":696,"endTime":816,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=696&ask_summarization=1"},{"index":8,"title":"Aralarında Asal Sayılar","list":{"type":"unordered","items":["Aralarında asal sayılar, birden başka ortak böleni olmayan pozitif tam sayılardır.","Ardışık sayılar ve ardışık tek sayılar kesinlikle aralarında asaldır.","Çift sayılar aralarında asal değildir çünkü ikisi de 2'ye bölünür.","1 ile tüm pozitif sayılar aralarında asaldır."]},"beginTime":816,"endTime":1064,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=816&ask_summarization=1"},{"index":9,"title":"Aralarında Asal Sayılar","list":{"type":"unordered","items":["Çift sayılar birbirleriyle asal olamaz çünkü ikisi de ikiye bölünür.","Aralarında asal sayılar, hiçbir ortak böleni olmayan sayılardır.","Birler basamağındaki \"al\" sayısı 1, 3, 7 veya 9 olabilir çünkü bu değerler 41, 43, 47 ve 49 ile aralarında asaldır."]},"beginTime":1068,"endTime":1182,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1068&ask_summarization=1"},{"index":10,"title":"Yeni Nesil Soru Örneği","list":{"type":"unordered","items":["Yeni nesil sorularda günlük yaşamdan problemler verilerek sorular renklendirilmektedir.","İki torbada bulunan bilye sayıları aralarında asal olmak için belirli sayılarda bilye eklenmesi gerekmektedir.","Torbalara eklenen bilye sayıları arasında 24'e 1, 24'e 2, 24'e 4 ve 32'ye 5 eklenirse bilye sayıları aralarında asaldır, ancak 24'e 3 eklenirse aralarında asal değildir."]},"beginTime":1182,"endTime":1327,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1182&ask_summarization=1"},{"index":11,"title":"EBOB ve EKOK Özellikleri","list":{"type":"unordered","items":["İki sayının EBOB ile EKOK'unun çarpımı, sayıların çarpımına eşittir.","Birbirinin katı olan sayıların EBOB'u küçük sayıya, EKOK'u ise büyük sayıya eşittir.","Aralarında asal sayıların EBOB'u 1'dir çünkü hiçbir ortak böleni yoktur."]},"beginTime":1327,"endTime":1504,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1327&ask_summarization=1"},{"index":12,"title":"EBOB ve EKOK Problemleri","list":{"type":"unordered","items":["Bir sayının EBOB'u 4 ve EKOK'u 80 olduğunda, sayının değeri 16'dır.","Aralarında asal sayıların EBOB'u 1, EKOK'u ise sayıların çarpımına eşittir.","Aralarında asal sayıların EBOB'u ile EKOK'larının toplamı 63 olduğunda, sayıların çarpımı 60'dır."]},"beginTime":1504,"endTime":1629,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1504&ask_summarization=1"},{"index":13,"title":"Aralarında Asal Sayılar Problemi","list":{"type":"unordered","items":["İki, otuz, üç, yirmi, dört, eksi beş, beş, eksi oniki ve altı ile on sayıları arasında ortak bölenleri yoktur.","Aralarında asal sayılar olmak zorunda olan sayılar arasından en az toplamlı olanı bulmak istenmektedir.","İki sayının toplamı 61, 23, 19 ve 17 olabilir, en az toplam 17'dir."]},"beginTime":1636,"endTime":1737,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1636&ask_summarization=1"},{"index":14,"title":"Çarpanlar ve Bölenler","list":{"type":"unordered","items":["Bir sayıyı tam bölen, kalansız bölen sayılara o sayının çarpanları denir.","Sayı büyüdükçe çarpanlar artmaz ve en küçük çarpan birdir.","Bir sayının çarpanı aynı zamanda bölenidir.","12'nin çarpanlarının toplamı 28'dir."]},"beginTime":1737,"endTime":1759,"href":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1737&ask_summarization=1"}],"linkTemplate":"/video/preview/18282035933627350769?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"EBOB - EKOK - Aralarında Asal Sayılar 8. 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Bir öğretmen, öğrencilere matematik konularını adım adım anlatmaktadır.","Video, asal sayılar, asal çarpanlarına ayırma, EBOB (Ortak Bölenlerin En Büyüğü) ve EKOK (Ortak Katların En Küçüğü) konularını kapsamaktadır. İçerik, bölünme kuralları, aralarında asal sayılar, oran-orantı ve geometrik problemler gibi çeşitli matematik konularını içermektedir. Öğretmen, ÖSYM zor tipi sorular üzerinden konuları pekiştirmekte ve her problem için çözüm stratejilerini göstermektedir.","Videoda ayrıca öğrencilere sınav hazırlığı için not alma ve zor soruları deftere yazma tavsiyeleri de verilmektedir. İçerik, temel zayıf olan öğrencilere yardımcı olmak için daha kolay sorularla başlayıp, ileride daha zor videolarda devam edeceğini belirtmektedir."]},"endTime":2157,"title":"Matematik Eğitim Videosu: Asal Sayılar, EBOB-EKOK ve Bölünme Kuralları","beginTime":0}],"fullResult":[{"index":0,"title":"Asal Sayılar ve Ardışık Sayılar","list":{"type":"unordered","items":["Videoda asal sayı, asal çarpanlarına ayırma, EBOB ve EKOK konuları ele alınacak.","Ardışık iki doğal sayı aralarında asaldır, yani ortak bölenleri sadece 1'dir.","Ardışık sayıların EBOB'u her zaman 1'dir."]},"beginTime":5,"endTime":82,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=5&ask_summarization=1"},{"index":1,"title":"Ardışık Sayılarla İlgili Örnek Soru","list":{"type":"unordered","items":["Ardışık iki doğal sayının çarpımı 182 ise, bu sayılar 13 ve 14'tür.","Ardışık sayılar için denklem çözmek yerine, pozitif değerler vererek çözüm bulunabilir."]},"beginTime":82,"endTime":194,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=82&ask_summarization=1"},{"index":2,"title":"Ortak Bölenlerin En Büyüğü","list":{"type":"unordered","items":["Ortak bölenlerinin en büyüğü 6 olan üç basamaklı üç doğal sayının toplamı en az 312'dir.","Sayılar farklı olmak zorunda değil, aynı sayı tekrarlanabilir."]},"beginTime":194,"endTime":295,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=194&ask_summarization=1"},{"index":3,"title":"Aralarında Asal Sayılar ve EBOB","list":{"type":"unordered","items":["Aralarında asal a ve b doğal sayılarının EBOB'ları ile EKOK'ları toplamı 120 olduğuna göre, a ve b'nin en küçük değerleri 15 ve 8'dir.","EKOK, sayıların ortak katlarının en küçüğüdür."]},"beginTime":295,"endTime":458,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=295&ask_summarization=1"},{"index":4,"title":"EBOB ve EKOK Problemleri","list":{"type":"unordered","items":["a ve b doğal sayıları olmak üzere, EBOB(a,b)=100 olduğuna göre, a+b'nin alabileceği en büyük değer 200'dür.","a ve b farklı sayılar ise, a+b'nin en büyük değeri 150'dür.","EKOK'ları 60 olan iki sayının toplamı en büyük 200, en küçük 29'dur."]},"beginTime":458,"endTime":616,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=458&ask_summarization=1"},{"index":5,"title":"Bölme Problemlerinin Zor Tipleri","list":{"type":"unordered","items":["Birinci turda zor tip bölme problemleriyle başlanıyor ve sayılar üçe, beşe ve sekize bölündüğünde kalanları inceleniyor.","Aradaki farklar aynı veya kalanlar aynı olan sorular kolaydır, ancak bu kalıbın en zor soru tipidir.","Bu tür soruları çözmek için \"sihirli sayı\" (virüslü sayı) bulunur; bu sayı hiçbir türlü bölünmeyen, ancak diğer sayıların özelliklerini taşıyan bir sayıdır."]},"beginTime":629,"endTime":673,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=629&ask_summarization=1"},{"index":6,"title":"Sihirli Sayı Probleminin Çözümü","list":{"type":"unordered","items":["Üç şartı da sağlayan \"sihirli sayı\" 13'tür; 358'e bölünen her sayı 13'ü ekleyerek tüm özelliklerini kazanır.","358'in EKOK'u 120'dir ve 120'e bölünen en büyük üç basamaklı sayı 967'dir.","967'e 13 eklenince 973 elde edilir, bu da sorunun cevabıdır."]},"beginTime":673,"endTime":815,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=673&ask_summarization=1"},{"index":7,"title":"Öğrencilere Tavsiyeler","list":{"type":"unordered","items":["Videolardan sonra not alıp soru defteri oluşturmak öğrencilere tavsiye ediliyor.","Sınava bir ay kala öğrenciler stres olabilir, bu defter sayesinde son 15 gün tekrar edebilirler.","Çözülen bazı sorular gerçekten zor tip olduğundan, not alıp yapamadıkları soruları tekrar sormaları öneriliyor."]},"beginTime":815,"endTime":865,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=815&ask_summarization=1"},{"index":8,"title":"EBOB ve EKOK Problemi","list":{"type":"unordered","items":["O ve AB'nin EBOB'u 12 olduğunda, AB=12m ve O=12k şeklinde ifade edilir.","96'dan 12'ye bölündüğünde k=8 bulunur ve a'nın alabileceği değerler toplamı hesaplanır.","96 ile 144 sayılarının ortak tam bölenleri, bu sayıların EBOB'u olan 48'in bölenleridir."]},"beginTime":865,"endTime":1115,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=865&ask_summarization=1"},{"index":9,"title":"Ortak Bölenlerin Sayısı","list":{"type":"unordered","items":["48'in pozitif tam bölenleri 10, negatif tam bölenleri de 10'dur.","Toplam 20 tane ortak tam böleni vardır.","Bu soru tipi çok güzel ve öğretici bir sorudur."]},"beginTime":1115,"endTime":1171,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1115&ask_summarization=1"},{"index":10,"title":"Aralarında Asal Sayılar Problemi","list":{"type":"unordered","items":["Aralarında asal sayılar, ortak bölenleri sadece 1 olan sayılardır.","600'ün aralarında asal sayıların çarpımı 600'e eşit olacak şekilde 8 farklı ab sayı çifti yazılabilir.","Aralarında asal sayılar problemlerinde, sayıların çarpımı verildiğinde, sayıların asal çarpanlarına ayırarak çözüm yapılır."]},"beginTime":1173,"endTime":1289,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1173&ask_summarization=1"},{"index":11,"title":"Buluşma Problemi","list":{"type":"unordered","items":["Buluşma, yan yana gelme, karşılaşma gibi zaman geçen sorularda \"ok\" kavramı kullanılır.","120 metrelik bir pisti 8 m/s, 30 m/s ve 20 m/s hızlarla koşan üç kişi, 60 saniye sonra tekrar yan yana gelirler.","Buluşma problemlerinde, her kişinin bir tur atma süresi hesaplanır ve bu sürelerin en küçük ortak katı bulunur."]},"beginTime":1289,"endTime":1463,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1289&ask_summarization=1"},{"index":12,"title":"Aralarında Asal Sayılar ve Denklem Çözümü","list":{"type":"unordered","items":["Aralarında asal sayılar problemlerinde, verilen ifadelerin aralarında asal çarpanlarına ayrılması gerekir.","Verilen denklemde, aralarında asal olan çarpanlar sadeleştirilerek çözüm yapılır.","Denklemin çözümü 9 olarak bulunur."]},"beginTime":1463,"endTime":1621,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1463&ask_summarization=1"},{"index":13,"title":"Parçalama Problemi","list":{"type":"unordered","items":["Boyutları 360 cm, 400 cm ve 600 cm olan demir çubuklar, uzunlukları eşit çarpmayacak şekilde en büyük parçalara ayrılır.","Çubukların en büyük ortak böleni 120 cm olarak bulunur.","Parça sayısı bir eksiği kadar kesim olur: 360 cm için 2 kesim, 480 cm için 3 kesim, 600 cm için 4 kesim, toplam 9 kesim yapılır."]},"beginTime":1621,"endTime":1768,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1621&ask_summarization=1"},{"index":14,"title":"Aralarında Asal Sayılar Problemi","list":{"type":"unordered","items":["Aralarında asal sayılar çarpımı 60 olarak verilmiştir.","Problemin çözümünde paydalar eşitlenerek y=4 bulunmuştur.","İlk sayı 15 olarak hesaplanmıştır."]},"beginTime":1771,"endTime":1843,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1771&ask_summarization=1"},{"index":15,"title":"Küp Oluşturma Problemi","list":{"type":"unordered","items":["Kenar uzunlukları 2x, 3x, 4x olan tuğlalarla küp oluşturulacaktır.","Tuğlaların ayrıtları 496x olarak hesaplanmıştır.","Küpün bir kenarı 36k olarak bulunmuş ve 216 tuğla kullanılacağı hesaplanmıştır."]},"beginTime":1843,"endTime":2033,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=1843&ask_summarization=1"},{"index":16,"title":"Reklam Gösterimi Problemi","list":{"type":"unordered","items":["Bir reklam filmi üç ayrı TV kanalında 3, 4, 2, 5 ve 9/7 saatlik aralıklarla gösterilmektedir.","Kesirlerin OKEK'i alınarak 18 saat sonra tekrar aynı anda gösterileceği bulunmuştur.","İlk kez 11'de gösterilen reklamın ikinci kez 53'te gösterileceği hesaplanmıştır."]},"beginTime":2033,"endTime":2132,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=2033&ask_summarization=1"},{"index":17,"title":"Dersin Kapanışı","list":{"type":"unordered","items":["Ödüllü soruya geçildiği belirtilmiştir.","Öğrencilere dersi tekrar tekrar dinlemeleri ve hoşlarına giden sorulardan sorular defteri yapmaları tavsiye edilmiştir.","İzleyicilere iyi çalışmalar dilenmiştir."]},"beginTime":2132,"endTime":2155,"href":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=2132&ask_summarization=1"}],"linkTemplate":"/video/preview/18082018088259214239?parent-reqid=1769460487595574-6214491339656773394-balancer-l7leveler-kubr-yp-sas-21-BAL&text=ACal&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Asal Sayılar - Ebob Ekok Zoru Çözümü | 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