Greatest Common Divisor (GCD) of 15, 45 and 60

The Greatest Common Divisor (GCD) of 15, 45 and 60 is the largest positive integer that equally divides all three numbers: 15, 45 and 60. Mathematically, the problem we are solving is:

GCD(15,45,60)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 15, 45 and 60. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 15:
1, 3, 5, and 15.

Divisors of 45:
1, 3, 5, 9, 15, and 45.

Divisors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

When we compare the lists of divisors above, we see that the largest number they have in common is 15. Thus, the Greatest Common Divisor (GCD) of 15, 45 and 60 is:

GCD(15,45,60) = 15

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Greatest Common Divisor (GCD) of 15, 45 and 61
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