Question

НОД(825;675) математика

Answer 1

НОД(825;675)=3*5*5=75
825=5*3*5*11
675=3*3*3*5*5

Answer 2

Calculating the Greatest Common Divisor (GCD) of 825 and 675

To calculate the greatest common divisor (GCD) of 825 and 675, we can use the prime factorization method. The prime factorization of a number represents it as a product of prime numbers. Once we have the prime factorization of both numbers, we can identify the common prime factors and calculate the GCD.

The prime factorization of 675 is 3 * 3 * 3 * 5 * 5, and the prime factorization of 825 is 3 * 5 * 5 * 11.

Finding the GCD

To find the GCD, we identify the common prime factors and multiply them together. In this case, the common prime factors are 3 and 5. Therefore, the GCD of 825 and 675 is 3 * 5, which equals 15.

So, the greatest common divisor (GCD) of 825 and 675 is 15.