Greatest Common Divisor (GCD) of 57 and 54




The Greatest Common Divisor (GCD) of 57 and 54 is the largest positive integer that divides both 57 and 54. Mathematically, the problem we are solving is:

GCD(57,54)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 57 and 54. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 57:
1, 3, 19, and 57.

Divisors of 54:
1, 2, 3, 6, 9, 18, 27, and 54.

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 57 and 54 is:

GCD(57,54) = 3


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Greatest Common Divisor (GCD) of 57 and 55
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