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gitmektir."]},"beginTime":569,"endTime":664,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=569&ask_summarization=1"},{"index":5,"title":"EKOK (En Küçük Ortak Kat) Hesaplama","list":{"type":"unordered","items":["EKOK, iki ya da daha fazla doğal sayının katı olan en küçük doğal sayıdır.","EKOK hesaplaması yaparken, ortak olan üslü sayıların en büyük üs değerini alırız.","EKOK, iki sayının ortak katlarının en küçüğüdür."]},"beginTime":664,"endTime":739,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=664&ask_summarization=1"},{"index":6,"title":"EKOK Hesaplama Yöntemleri","list":{"type":"unordered","items":["EKOK hesaplaması için sayılara asal çarpanlarına ayırma yöntemi kullanılır.","EKOK, asal çarpanlara ayırma sonucunda ortak bölenler hariç tüm sayıların çarpımıdır.","EKOK hesaplaması için sayının katlarını yazıp en küçük ortak katı bulmak da mümkündür, ancak asal çarpanlara ayırma yöntemi daha avantajlıdır."]},"beginTime":739,"endTime":892,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=739&ask_summarization=1"},{"index":7,"title":"EBOB ve EKOK Hesaplama","list":{"type":"unordered","items":["EKOK hesaplamasında ortak olmayan çarpanlar da EKOK'a dahil edilir, EBOB'ta ise sadece ortak çarpanlar alınır.","EKOK hesaplamasında bir sayının içinde olmayan çarpanlar da EKOK'a dahil edilir, EBOB'ta ise sadece ortak çarpanlar alınır.","EKOK hesaplamasında her iki sayıyı da aynı anda bölen çarpanlar EKOK'a dahil edilir."]},"beginTime":894,"endTime":953,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=894&ask_summarization=1"},{"index":8,"title":"EKOK ve EBOB Örnek Hesaplama","list":{"type":"unordered","items":["80 ve 120 sayılarının EKOK'u hesaplanırken, her iki sayıyı da aynı anda bölen çarpanlar (2, 2, 2, 2, 3, 5) çarpılarak 2⁴×3¹×5¹=240 bulunur.","Aynı örnekte EBOB hesaplanırken, ortak çarpanlar (2, 2, 2, 5) çarpılarak 2³×5¹=40 bulunur.","EKOK problemlerinde parçadan bütüne geçiş yapılır, yani küçük parçalardan büyük bir bütünü oluşturmak için kullanılır."]},"beginTime":953,"endTime":1098,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=953&ask_summarization=1"},{"index":9,"title":"EKOK ve EBOB Özellikleri","list":{"type":"unordered","items":["Aralarında asal olan iki sayının EBOB'u 1'e eşittir çünkü 1'den başka ortak bölenleri yoktur.","Aralarında asal olan iki sayının EKOK'u, sayıların çarpımına eşittir.","İki sayının EBOB'u ile EKOK'unun çarpımı, o sayıların çarpımına eşittir."]},"beginTime":1098,"endTime":1242,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1098&ask_summarization=1"},{"index":10,"title":"EBOB ve EKOK Özellikleri","list":{"type":"unordered","items":["Aralarında asal sayıların EBOB'ları 1'dir, EKOK'ları çarpımlarıdır.","İki sayının EBOB'ları ile EKOK'larının çarpımı, sayıların çarpımına eşittir.","Ardışık tek sayılar (örneğin 3 ve 5, 5 ve 7, 11 ve 13) aralarında asaldır, EBOB'ları 1'dir ve EKOK'ları çarpımlarıdır."]},"beginTime":1244,"endTime":1284,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1244&ask_summarization=1"},{"index":11,"title":"Ardışık Çift Sayıların Özellikleri","list":{"type":"unordered","items":["Ardışık çift sayılar (örneğin 10 ve 12, 28 ve 30) sadece 2 ortak böleni vardır.","Ardışık iki çift sayıyı 2'ye böldüğünüzde ardışık sayılar elde edersiniz ve ardışık sayılar aralarında asaldır.","Ardışık iki çift sayının EBOB'u 2'dir ve EKOK'u, sayıların çarpımlarının yarısına eşittir."]},"beginTime":1284,"endTime":1364,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1284&ask_summarization=1"},{"index":12,"title":"Örnek Soru Çözümü 1","list":{"type":"unordered","items":["\"30/a ve 36/a ifadelerinin sonucu bir tam sayı olduğuna göre a yerine gelebilecek en büyük doğal sayı\" sorusunda, a'nın 30 ve 36'nın en büyük ortak böleni olması gerekir.","30 ve 36'nın EBOB'u 6 olduğundan, a'nın alabileceği en büyük doğal sayı değeri 6'dır.","a'nın alabileceği diğer değerler 1, 2, 3, 6 olabilir, ancak en büyük değeri 6'dır."]},"beginTime":1364,"endTime":1447,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1364&ask_summarization=1"},{"index":13,"title":"Örnek Soru Çözümü 2","list":{"type":"unordered","items":["\"50/x, 80/x ve 90/x ifadelerinin sonucu bir tam sayı olduğuna göre x yerine gelebilecek en küçük doğal sayı\" sorusunda, x'in 50, 80 ve 90'ın en küçük ortak katı olması gerekir.","50, 80 ve 90'ın EKOK'u 2⁴ × 3² × 5² = 3600'dur.","EKOK bulmanın daha kısa bir yöntemi, sayıları önce 10'a bölmek ve sonra asal bölmeler yapmaktır."]},"beginTime":1447,"endTime":1582,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1447&ask_summarization=1"},{"index":14,"title":"Örnek Soru Çözümü 3","list":{"type":"unordered","items":["\"x ve y aralarında asal sayılar olmak üzere, x ve y'nin EBOB'uyla x ve y'nin EKOK'unu topladığımızda 37 yapıyormuş. Buna göre x+y toplamının alabileceği en küçük değer kaçtır?\" sorusunda, x×y=36 olmalıdır.","x ve y aralarında asal olmalı ve çarpımları 36 olan sayı çiftleri arasında en küçük toplamı veren çift 4 ve 9'dur.","x+y'nin alabileceği en küçük değer 13'tür."]},"beginTime":1582,"endTime":1674,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1582&ask_summarization=1"},{"index":15,"title":"Dersin Özeti","list":{"type":"unordered","items":["Bu derste EBOB ve EKOK kavramları, hem üslü sayı cinsinden hem de normal şekilde nasıl bulunur anlatılmıştır.","EBOB ve EKOK'un bulunuş mantığının ve çarpan mantığının anlaşılması önemlidir.","Bu derste kampın 73. adımı tamamlanmış ve bir sonraki derste 74. adımda EBOB konu anlatımının devam edilecektir."]},"beginTime":1674,"endTime":1715,"href":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=1674&ask_summarization=1"}],"linkTemplate":"/video/preview/17176831557043554865?parent-reqid=1769527960957593-7493591839740218091-balancer-l7leveler-kubr-yp-klg-97-BAL&text=Me6Prod&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Zero Matematik Kampı | 73.Adım | Ebob Ekok-1 | Başlangıç Serisi | 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