Greatest Common Divisor (GCD) of 6 and 90

The Greatest Common Divisor (GCD) of 6 and 90 is the largest positive integer that divides both 6 and 90. Mathematically, the problem we are solving is:

GCD(6,90)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6 and 90. 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 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

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 and 90 is:

GCD(6,90) = 6

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Greatest Common Divisor (GCD) of 6 and 91
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