GCD of 656, 742, 931 Calculator

Given Input numbers are 656, 742, 931

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 656, 742, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 742, 931 is 1.

Therefore, GCD of numbers 656, 742, 931 is 1

Given Input Data is 656, 742, 931

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 742 is 2 x 7 x 53

Prime Factorization of 931 is 7 x 7 x 19

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, 742) = 243376

GCD(656, 742) = ( 656 x 742 ) / 243376

GCD(656, 742) = 486752 / 243376

GCD(656, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

GCD of 656, 742, 931 is 1

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1. What is the GCD of 656, 742, 931?

GCD of 656, 742, 931 is 1

2. Where do I get the detailed procedure to find GCD of 656, 742, 931?

You can find a detailed procedure to find GCD of 656, 742, 931 on our page.

3. How to find GCD of 656, 742, 931 on a calculator?

You can find the GCD of 656, 742, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.