Question

Найдите нод 525;875; найдите нок 875;525

Answer 1

525=3×5×5×7 875=5×5×5×7 НОД(525; 875)=5×5×7=25×7=175 НОК=5×5×5×7×3=2625

Answer 2

Finding the Greatest Common Divisor (НОД)

To find the greatest common divisor (НОД) of 525 and 875, we can use the Euclidean algorithm. The Euclidean algorithm states that the greatest common divisor of two numbers is equal to the greatest common divisor of the remainder when the larger number is divided by the smaller number.

Let's apply the Euclidean algorithm to find the НОД of 525 and 875:

1. Divide 875 by 525: 875 ÷ 525 = 1 with a remainder of 350. 2. Divide 525 by 350: 525 ÷ 350 = 1 with a remainder of 175. 3. Divide 350 by 175: 350 ÷ 175 = 2 with no remainder. 4. Since there is no remainder, the НОД of 525 and 875 is the last non-zero remainder, which is 175.

Therefore, the НОД of 525 and 875 is 175.