Question

Найти Нод чисел 462 и 546,

Answer 1

462 = 2*231 = 2*3*7*11
546 = 2*273 = 2*3*91

НОД = 2*3 = 6

Answer 2

Finding the Greatest Common Divisor (GCD) of 462 and 546

To find the greatest common divisor (GCD) of 462 and 546, we can use the method of prime factorization or the Euclidean algorithm. Let's proceed with the prime factorization method.

Prime Factorization of 462: The prime factorization of 462 is 2 * 3 * 7 * 11.

Prime Factorization of 546: The prime factorization of 546 is 2 * 3 * 7 * 13.

Now, we can find the GCD by multiplying the common prime factors with the lowest exponent. In this case, the common prime factors are 2, 3, and 7.

GCD(462, 546) = 2 * 3 * 7 = 42.

So, the greatest common divisor of 462 and 546 is 42.