Question

НОД ( 60,72,96) НОД-это наибольший общий делитель

Answer 1

60,72,96 наибольший общий делитель который дает числа без остатка это 12

Answer 2

Calculating the Greatest Common Divisor (GCD) of 60, 72, and 96

To calculate the greatest common divisor (GCD) of 60, 72, and 96, we can use the method of prime factorization or the Euclidean algorithm. Let's use the Euclidean algorithm to find the GCD.

1. Using 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 start by finding the GCD of 60 and 72, then use the result to find the GCD of the obtained result and 96.

2. Step-by-Step Calculation: - GCD(60, 72) = 12 - GCD(12, 96) = 12

3. Conclusion: - The GCD of 60, 72, and 96 is 12.

This calculation is based on the Euclidean algorithm, which is a widely used method for finding the GCD of two or more numbers.