Greatest Common Divisor (GCD) of 6, 18 and 72

The Greatest Common Divisor (GCD) of 6, 18 and 72 is the largest positive integer that equally divides all three numbers: 6, 18 and 72. Mathematically, the problem we are solving is:

GCD(6,18,72)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6, 18 and 72. We will then compare the lists of divisors to find the greatest divisor they have in common.

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

Divisors of 18:
1, 2, 3, 6, 9, and 18.

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 6. Thus, the Greatest Common Divisor (GCD) of 6, 18 and 72 is:

GCD(6,18,72) = 6

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 6, 18 and 73
Go here for the next set of numbers that we calculated the Greatest Common Divisor for.