Greatest Common Divisor (GCD) of 36 and 11




The Greatest Common Divisor (GCD) of 36 and 11 is the largest positive integer that divides both 36 and 11. Mathematically, the problem we are solving is:

GCD(36,11)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 36 and 11. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 36:
1, 2, 3, 4, 6, 9, 12, 18, and 36.

Divisors of 11:
1 and 11.

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 36 and 11 is:

GCD(36,11) = 1


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Greatest Common Divisor (GCD) of 36 and 12
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