Greatest Common Divisor (GCD) of 72, 77 and 79

The Greatest Common Divisor (GCD) of 72, 77 and 79 is the largest positive integer that equally divides all three numbers: 72, 77 and 79. Mathematically, the problem we are solving is:

GCD(72,77,79)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 72, 77 and 79. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

Divisors of 77:
1, 7, 11, and 77.

Divisors of 79:
1 and 79.

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 72, 77 and 79 is:

GCD(72,77,79) = 1

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Greatest Common Divisor (GCD) of 72, 77 and 80
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