Greatest Common Divisor (GCD) of 6, 18 and 45

The Greatest Common Divisor (GCD) of 6, 18 and 45 is the largest positive integer that equally divides all three numbers: 6, 18 and 45. Mathematically, the problem we are solving is:

GCD(6,18,45)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6, 18 and 45. 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 45:
1, 3, 5, 9, 15, and 45.

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 6, 18 and 45 is:

GCD(6,18,45) = 3

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Greatest Common Divisor (GCD) of 6, 18 and 46
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