
The Greatest Common Divisor (GCD) of 67, 76 and 79 is the largest positive integer that equally divides all three numbers: 67, 76 and 79. Mathematically, the problem we are solving is:
GCD(67,76,79)
To solve the problem, we will list all the positive integers (divisors) that can be divided into 67, 76 and 79. 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 76:
1, 2, 4, 19, 38, and 76.
Divisors of 79:
1 and 79.
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, 76 and 79 is:
GCD(67,76,79) = 1
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Greatest Common Divisor (GCD) of 67, 76 and 80
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