GCD of 637, 756, 997, 252 Calculator

Given Input numbers are 637, 756, 997, 252

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 637, 756, 997, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 756, 997, 252 is 1.

Therefore, GCD of numbers 637, 756, 997, 252 is 1

Given Input Data is 637, 756, 997, 252

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 997 is 997

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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, 756) = 68796

GCD(637, 756) = ( 637 x 756 ) / 68796

GCD(637, 756) = 481572 / 68796

GCD(637, 756) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 997

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

LCM(7, 997) = 6979

GCD(7, 997) = ( 7 x 997 ) / 6979

GCD(7, 997) = 6979 / 6979

GCD(7, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 637, 756, 997, 252 is 1

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1. What is the GCD of 637, 756, 997, 252?

GCD of 637, 756, 997, 252 is 1

2. Where do I get the detailed procedure to find GCD of 637, 756, 997, 252?

You can find a detailed procedure to find GCD of 637, 756, 997, 252 on our page.

3. How to find GCD of 637, 756, 997, 252 on a calculator?

You can find the GCD of 637, 756, 997, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.