Question

Найти НОД (123,79) пожалуйста

Answer 1

Ответ 1
оба числа делятся только на 1

Answer 2

Наибольший общий делитель 1

Answer 3

Finding the Greatest Common Divisor (GCD) of 123 and 79

To find the greatest common divisor (GCD) of 123 and 79, we can use the Euclidean algorithm. The Euclidean algorithm is based on the principle that the GCD of two numbers does not change if the larger number is replaced by its difference with the smaller number. We can express this algorithm as follows:

1. Set a = 123 and b = 79. 2. Calculate the remainder of a divided by b: a % b. 3. If the remainder is not zero, set a = b and b = the remainder, then repeat step 2. 4. If the remainder is zero, then the current value of b is the GCD of the original two numbers.

Using this algorithm, we can find the GCD of 123 and 79.

Euclidean Algorithm: ``` a = 123 b = 79

Step 1: 123 = 79 * 1 + 44

Step 2: 79 = 44 * 1 + 35

Step 3: 44 = 35 * 1 + 9

Step 4: 35 = 9 * 3 + 8

Step 5: 9 = 8 * 1 + 1

Step 6: 8 = 1 * 8 + 0 ```

The remainder becomes zero when 8 is divided by 1, so the GCD of 123 and 79 is 1.