Question

НОД 28,63. НОД 132,165. НОД 28,70,98. НОД 16,27

Answer 1

Ответ:

НОД 28, 63 = 7

НОД 132, 165 = 33

НОД 28, 70, 98 = 14

НОД 16, 27 = 1

Пошаговое объяснение:

Answer 2

To find the greatest common divisor (GCD) of two numbers, you can use the Euclidean algorithm. Here are the calculations for the given pairs of numbers:

1. GCD(28, 63): Using the Euclidean algorithm: 63 = 2 * 28 + 7 28 = 4 * 7 + 0

   Since the remainder is 0, the GCD is the divisor of the previous step, which is 7. Therefore, GCD(28, 63) = 7.

2. GCD(132, 165): Using the Euclidean algorithm: 165 = 1 * 132 + 33 132 = 4 * 33 + 0

   The remainder becomes 0, so the GCD is the divisor of the previous step, which is 33. Therefore, GCD(132, 165) = 33.

3. GCD(28, 70, 98): We can find the GCD of three numbers by finding the GCD of the first two, and then finding the GCD of the result with the third number.

   GCD(28, 70) = 14 (using the Euclidean algorithm as shown in the first example) Now, we find the GCD(14, 98): 98 = 7 * 14 + 0

   Since the remainder is 0, the GCD is the divisor of the previous step, which is 14. Therefore, GCD(28, 70, 98) = 14.

4. GCD(16, 27): Using the Euclidean algorithm: 27 = 1 * 16 + 11 16 = 1 * 11 + 5 11 = 2 * 5 + 1 5 = 5 * 1 + 0

   The remainder becomes 0, so the GCD is the divisor of the previous step, which is 1. Therefore, GCD(16, 27) = 1.

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