Question

Найти нок и нод :
1)a=2×2×3×11|b=2×3×7×11
2)a=3×5×5×5×7|b=2×3×5×7
3)a=3×13×17|b=2×3×11×13

Answer 1

Ответ: ↓

$1)$

$a = 2 \times 2 \times 3 \times 11 \\ b = 2 \times 3 \times 7 \times 11$

$НОД(a \: ; b) = 2 \times 3 \times 11 = 66$

$НОК(a \: ;b) = 2 \times 3 \times 11 \times 2 \times 7 = 924$

$2)$

$a = 3 \times 5 \times 5 \times 5 \times 7$

$b = 2 \times 3 \times 5 \times 7$

$НОД(a \: ;b) = 3 \times 5 \times 7 = 105$

$НОК(a \: ;b) = 3 \times 5 \times 7 \times 2 \times 5 \times 5 = 5250$

$3)$

$a = 3 \times 13 \times 17$

$b = 2 \times 3 \times 11 \times 13$

$НОД(a \:; b) = 3 \times 13 = 39$

$НОК(a \: ; b) = 3 \times 13 \times 17 \times 2 \times 11 = 14586$