Question

Применив алгоритм Евклида, найдите НОД чисел 800 и 60.

Answer 1

1) 800 : 60 = 13 (остаток 20)
2) 60 : 20 = 3 (остаток 0)
Последовательность: 800; 60; 20; 0
перед нолем в последовательности стоит 20 - это и есть НОД чисел 800 и 60
НОД(800; 60)=20

Answer 2

Finding the GCD using the Euclidean Algorithm

To find the greatest common divisor (GCD) of two numbers using the Euclidean Algorithm, we repeatedly divide the larger number by the smaller number until the remainder is zero. The GCD is then the last non-zero remainder.

In this case, we want to find the GCD of 800 and 60 using the Euclidean Algorithm.

1. Divide 800 by 60: 800 ÷ 60 = 13 remainder 20. 2. Divide 60 by 20: 60 ÷ 20 = 3 remainder 0.

Since the remainder is now zero, we stop. The GCD of 800 and 60 is 20.

Therefore, the GCD of 800 and 60 is 20.