Greatest Common Divisor (GCD) of 5 and 40

The Greatest Common Divisor (GCD) of 5 and 40 is the largest positive integer that divides both 5 and 40. Mathematically, the problem we are solving is:

GCD(5,40)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 5 and 40. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 5:
1 and 5.

Divisors of 40:
1, 2, 4, 5, 8, 10, 20, and 40.

When we compare the lists of divisors above, we see that the largest number they have in common is 5. Thus, the Greatest Common Divisor (GCD) of 5 and 40 is:

GCD(5,40) = 5

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Greatest Common Divisor (GCD) of 5 and 41
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