Greatest Common Divisor (GCD) of 3, 6 and 14

The Greatest Common Divisor (GCD) of 3, 6 and 14 is the largest positive integer that equally divides all three numbers: 3, 6 and 14. Mathematically, the problem we are solving is:

GCD(3,6,14)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 3, 6 and 14. 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 6:
1, 2, 3, and 6.

Divisors of 14:
1, 2, 7, and 14.

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, 6 and 14 is:

GCD(3,6,14) = 1

Greatest Common Divisor Calculator
Please enter another two or three numbers below so we can calculate the Greatest Common Divisor (GCD) for you:

Greatest Common Divisor (GCD) of 3, 6 and 15
Go here for the next set of numbers that we calculated the Greatest Common Divisor for.