Question

НОД(36;64) НОК[36;64]

Answer 1

Ответ:

Пошаговое объяснение:

НОД-4

НОК-576

Answer 2

To find the greatest common divisor (НОД) of 36 and 64, as well as the least common multiple (НОК) of 36 and 64, follow these steps:

Step 1: Find the Greatest Common Divisor (НОД)

The greatest common divisor (НОД) of two numbers is the largest positive integer that divides both numbers evenly.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Factors of 64: 1, 2, 4, 8, 16, 32, 64

Common factors of 36 and 64: 1, 2, 4 The largest common factor is 4.

Therefore, НОД(36, 64) = 4.

Step 2: Find the Least Common Multiple (НОК)

The least common multiple (НОК) of two numbers is the smallest positive integer that is divisible by both numbers.

To find the НОК, you can use the formula:

НОК(a, b) = (a * b) / НОД(a, b)

In this case: НОК(36, 64) = (36 * 64) / 4 НОК(36, 64) = 2304 / 4 НОК(36, 64) = 576

Therefore, НОК[36, 64] = 576.