Greatest Common Divisor (GCD) of 67, 75 and 99




The Greatest Common Divisor (GCD) of 67, 75 and 99 is the largest positive integer that equally divides all three numbers: 67, 75 and 99. Mathematically, the problem we are solving is:

GCD(67,75,99)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 67, 75 and 99. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 67:
1 and 67.

Divisors of 75:
1, 3, 5, 15, 25, and 75.

Divisors of 99:
1, 3, 9, 11, 33, and 99.

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 67, 75 and 99 is:

GCD(67,75,99) = 1


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Greatest Common Divisor (GCD) of 67, 76 and 77
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