Greatest Common Divisor (GCD) of 10 and 17




The Greatest Common Divisor (GCD) of 10 and 17 is the largest positive integer that divides both 10 and 17. Mathematically, the problem we are solving is:

GCD(10,17)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 10 and 17. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 10:
1, 2, 5, and 10.

Divisors of 17:
1 and 17.

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 10 and 17 is:

GCD(10,17) = 1


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Greatest Common Divisor (GCD) of 10 and 18
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