GCD of 656, 108, 319 Calculator

Given Input numbers are 656, 108, 319

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 656, 108, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 108, 319 is 1.

Therefore, GCD of numbers 656, 108, 319 is 1

Given Input Data is 656, 108, 319

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 319 is 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(656, 108) = 17712

GCD(656, 108) = ( 656 x 108 ) / 17712

GCD(656, 108) = 70848 / 17712

GCD(656, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 319

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 319) = 1276

GCD(4, 319) = ( 4 x 319 ) / 1276

GCD(4, 319) = 1276 / 1276

GCD(4, 319) = 1

GCD of 656, 108, 319 is 1

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• GCD of 599, 596, 961
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1. What is the GCD of 656, 108, 319?

GCD of 656, 108, 319 is 1

2. Where do I get the detailed procedure to find GCD of 656, 108, 319?

You can find a detailed procedure to find GCD of 656, 108, 319 on our page.

3. How to find GCD of 656, 108, 319 on a calculator?

You can find the GCD of 656, 108, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.