Greatest Common Divisor (GCD) of 7 and 8

The Greatest Common Divisor (GCD) of 7 and 8 is the largest positive integer that divides both 7 and 8. Mathematically, the problem we are solving is:

GCD(7,8)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 7 and 8. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 7:
1 and 7.

Divisors of 8:
1, 2, 4, and 8.

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 7 and 8 is:

GCD(7,8) = 1

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