GCD of 317, 637, 21, 598 Calculator

Given Input numbers are 317, 637, 21, 598

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 637

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

1, 7, 13, 49, 91, 637

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 317, 637, 21, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 637, 21, 598 is 1.

Therefore, GCD of numbers 317, 637, 21, 598 is 1

Given Input Data is 317, 637, 21, 598

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

Prime Factorization of 317 is 317

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 598 is 2 x 13 x 23

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(317, 637) = 201929

GCD(317, 637) = ( 317 x 637 ) / 201929

GCD(317, 637) = 201929 / 201929

GCD(317, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 317, 637, 21, 598 is 1

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• GCD of 707, 971, 25, 241
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1. What is the GCD of 317, 637, 21, 598?

GCD of 317, 637, 21, 598 is 1

2. Where do I get the detailed procedure to find GCD of 317, 637, 21, 598?

You can find a detailed procedure to find GCD of 317, 637, 21, 598 on our page.

3. How to find GCD of 317, 637, 21, 598 on a calculator?

You can find the GCD of 317, 637, 21, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.