GCD of 198 and 217

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Greatest Common Divisor explained here

You have reached us maybe looking for answers to the questions like: GCD of 198 and 217 or what is the highest common factor (HCF) of 198 and 217?

What is the GCF of 198 and 217?

The first step to find the gcf of 198 and 217 is to list the factors of each number. The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, and 198. The factors of 217 are 1, 7, 31, and 217. So, the Greatest Common Factor for these numbers is 1 because it divides all them without a remainder. Read more about Common Factors below.

How to find the Greatest Common Factor

GCF example:

The first step is to find all divisors of each number. For instance, let us find the GCF(198,217).

In this case, we have:

The factors of 198 (all the whole numbers that can divide the number without a remainder) are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, and 198;
The factors of 217 are 1, 7, 31, and 217.

The second step is to determine which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 198 and 217 is 1. The GCF is the largest common positive integer that divides all the numbers (198,217) without a remainder.

In the name greatest common divisor, the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), greatest common measure, among others.

So, the GCF is also known as:

Greatest common divisor (gcd);
Highest common factor (hcf);
Greatest common measure (gcm), or
Highest common divisor

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