Greatest Common Divisor (GCD) of 3 and 72

The Greatest Common Divisor (GCD) of 3 and 72 is the largest positive integer that divides both 3 and 72. Mathematically, the problem we are solving is:

GCD(3,72)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 3 and 72. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 3:
1 and 3.

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

When we compare the lists of divisors above, we see that the largest number they have in common is 3. Thus, the Greatest Common Divisor (GCD) of 3 and 72 is:

GCD(3,72) = 3

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Greatest Common Divisor (GCD) of 3 and 73
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