Вопрос школьника по предмету Математика
Нок и Нод найдите только с решение
(8 и 12)
(5 и 8)
(24 и 16)
Ответ учителя по предмету Математика
НОК (8; 12) = 2³ ⋅ 3 = 8 ⋅ 3 = 24
8 = 2 ⋅ 2 ⋅ 2 = 2² ⋅ 2 = 2³
12 = 3 ⋅ 2 ⋅ 2 = 3 ⋅ 2²
НОД (8; 12) = 2 ⋅ 2 = 2² = 4
—————————————-
НОК (5; 8) = 2³ ⋅ 5 = 40
5 = 5
8 = 2 ⋅ 2 ⋅ 2 = 2³
НОД (5; 8) = 1 ⋅ 1 = 1
—————————————
НОК (24; 16) = 2⁴ ⋅ 3 = 48
24 = 2 ⋅ 2 ⋅ 2 ⋅ 3 = 2³ ⋅ 3
16 = 2 ⋅ 2 ⋅ 2 ⋅ 2 = 2⁴
НОД (24; 16) = 2³ = 8
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Заранее спасибо)))