Greatest Common Divisor (GCD) of 3, 7 and 12

The Greatest Common Divisor (GCD) of 3, 7 and 12 is the largest positive integer that equally divides all three numbers: 3, 7 and 12. Mathematically, the problem we are solving is:

GCD(3,7,12)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 3, 7 and 12. 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 7:
1 and 7.

Divisors of 12:
1, 2, 3, 4, 6, and 12.

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 3, 7 and 12 is:

GCD(3,7,12) = 1

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Greatest Common Divisor (GCD) of 3, 7 and 13
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