Question

1) 48 и 84; 4) 52 и 78; 2) 70 и 98; 5) 44 и 65;
8) 110, 154 и 286;
3) 16 и 45; 6) 72 и 96;
9) 90, 126 и 162.
Образец: НОД (156, 390, 650) = ?
156 = 2 • 2 • 3 • 13; 390 = 2 : 3 : 5 : 13;
650 = 2 - 5 - 5 - 13. НОД (156, 390, 650) = 2 - 13 = 26.
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Answer 1

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.