НОД(20, 75,130)

To find the greatest common divisor (НОД) of 20, 75, and 130, we can start by finding the prime factors of each number:

20: 2^2 * 5^1 75: 3^1 * 5^2 130: 2^1 * 5^1 * 13^1

To find the greatest common divisor, we need to take the highest power of each prime factor that appears in all the numbers. In this case, the only common prime factor is 5, and its highest power is 1.

Therefore, the greatest common divisor of 20, 75, and 130 is 5.