Question

Найдите НОД (6;24;36)

Answer 1

6=6*1;
24=6*4;
36=6*6;

(НОД)=6

Answer 2

Finding the Greatest Common Divisor (GCD) of 6, 24, and 36

To find the greatest common divisor (GCD) of three 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. We can apply this algorithm iteratively to find the GCD of multiple numbers.

Let's apply the Euclidean algorithm to find the GCD of 6, 24, and 36:

1. Find the GCD of 6 and 24: - Divide 24 by 6: 24 ÷ 6 = 4 with no remainder. - The GCD of 6 and 24 is 6.

2. Find the GCD of 6 (previous GCD) and 36: - Divide 36 by 6: 36 ÷ 6 = 6 with no remainder. - The GCD of 6 and 36 is 6.

Therefore, the GCD of 6, 24, and 36 is 6.

Answer

The greatest common divisor (GCD) of 6, 24, and 36 is 6.