GCD of 637, 256, 695, 972 Calculator

Given Input numbers are 637, 256, 695, 972

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 637, 256, 695, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 256, 695, 972 is 1.

Therefore, GCD of numbers 637, 256, 695, 972 is 1

Given Input Data is 637, 256, 695, 972

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 695 is 5 x 139

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(637, 256) = 163072

GCD(637, 256) = ( 637 x 256 ) / 163072

GCD(637, 256) = 163072 / 163072

GCD(637, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 637, 256, 695, 972 is 1

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1. What is the GCD of 637, 256, 695, 972?

GCD of 637, 256, 695, 972 is 1

2. Where do I get the detailed procedure to find GCD of 637, 256, 695, 972?

You can find a detailed procedure to find GCD of 637, 256, 695, 972 on our page.

3. How to find GCD of 637, 256, 695, 972 on a calculator?

You can find the GCD of 637, 256, 695, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.