Question

Знайдіть НСД (60 і 24) даю 100балов

Answer 1

Відповідь:

НСД (60 і 24)=12

Покрокове пояснення:

Answer 2

Finding the GCD of 60 and 24

To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The Euclidean algorithm states that the GCD of two numbers is equal to the GCD of the smaller number and the remainder when the larger number is divided by the smaller number.

In this case, we want to find the GCD of 60 and 24.

1. Divide 60 by 24: 60 ÷ 24 = 2 with a remainder of 12. 2. Now, we take the smaller number, which is 24, and the remainder from the previous step, which is 12, and repeat the process. 3. Divide 24 by 12: 24 ÷ 12 = 2 with no remainder. 4. Since there is no remainder, the GCD of 60 and 24 is the smaller number, which is 12.

Therefore, the GCD of 60 and 24 is 12.