Нок и Нод найдите только с решение (8 и 12) (5 и 8) (24 и 16)

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