Greatest Common Divisor (GCD) of 9 and 33

The Greatest Common Divisor (GCD) of 9 and 33 is the largest positive integer that divides both 9 and 33. Mathematically, the problem we are solving is:

GCD(9,33)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 9 and 33. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 9:
1, 3, and 9.

Divisors of 33:
1, 3, 11, and 33.

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 9 and 33 is:

GCD(9,33) = 3

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Greatest Common Divisor (GCD) of 9 and 34
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