Greatest Common Divisor (GCD) of 25 and 19

The Greatest Common Divisor (GCD) of 25 and 19 is the largest positive integer that divides both 25 and 19. Mathematically, the problem we are solving is:

GCD(25,19)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 25 and 19. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 25:
1, 5, and 25.

Divisors of 19:
1 and 19.

When we compare the lists of divisors above, we see that the largest number they have in common is 1. Thus, the Greatest Common Divisor (GCD) of 25 and 19 is:

GCD(25,19) = 1

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Greatest Common Divisor (GCD) of 25 and 20
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