Question

Найти НОД(13; 27; 29)

Answer 1

Это просто! НОД(13;27;29)=1

Answer 2

Calculation of the Greatest Common Divisor (GCD)

To find the greatest common divisor (GCD) of the numbers 13, 27, and 29, we can use the Euclidean algorithm. The Euclidean algorithm is an efficient method for finding the GCD of two numbers, and it can be extended to find the GCD of multiple numbers.

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 calculate the GCD of 13, 27, and 29 step by step:

1. GCD(13, 27) = GCD(27, 13) = GCD(13, 1) = 1. 2. GCD(1, 29) = GCD(29, 1) = GCD(1, 0) = 1.

Therefore, the GCD of 13, 27, and 29 is 1.

Answer: The GCD of 13, 27, and 29 is 1.