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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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.