1)48 и 84 4)52 и 78 7)78,117 и 195 2)70 и 85 5)44 и 65 8)110,154 и 286 3)16 и 45 6)72 и 96 9)90,126 и 162 Образец: 156=2*2*3*13

Решение:

1) 48 = 2 × 2 × 2 × 2 × 3;

84 = 2 × 2 × 3 × 7;

НОД(48; 84) = 2 × 2 × 3 = 12.

2) 52 = 2 × 2 × 13;

78 = 2 × 3 × 13;

НОД(52; 78) = 2 × 13 = 26;

3) 78 = 2 × 3 × 13;

117 = 3 × 3 × 13;

195 = 3 × 5 × 13;

НОД(78; 117; 195) = 3 × 13 = 39.

4) 70 = 2 × 5 × 7;

85 = 5 × 17;

НОД(70; 85) = 5.

5) 44 = 2 × 2 × 11;

65 = 5 × 13;

НОД(44; 65) = 1 (взаимно простые числа).

6) 110 = 2 × 5 × 11;

154 = 2 × 7 × 11;

286 = 2 × 11 × 13;

НОД(110; 154; 286) = 2 × 11 = 22;

7) 16 = 2 × 2 × 2 × 2;

45 = 3 × 3 × 5;

НОД(16; 45) = 1 (взаимно простые числа).

8) 72 = 2 × 2 × 2 × 3 × 3;

96 = 2 × 2 × 2 × 2 × 2 × 3;

НОД(72; 96) = 2 × 2 × 2 × 3 = 24;

9) 90 = 2 × 3 × 3 × 5;

126 = 2 × 3 × 3 × 7;

162 = 2 × 3 × 3 × 3 × 3;

НОД(90; 126; 162) = 2 × 3 × 3 = 18.