GCD of 725, 638, 571, 137 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 725, 638, 571, 137 i.e. 1 largest integer that divides all the numbers equally.

GCD of 725, 638, 571, 137 is 1

GCD(725, 638, 571, 137) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 725, 638, 571, 137 is 1

GCD(725, 638, 571, 137) = 1

GCD of 725,638,571,137 Calculator

GCDof 725,638,571,137 is 1

Given Input numbers are 725, 638, 571, 137

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 725, 638, 571, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 638, 571, 137 is 1.

Therefore, GCD of numbers 725, 638, 571, 137 is 1

Finding GCD of 725, 638, 571, 137 using Prime Factorization

Given Input Data is 725, 638, 571, 137

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 571 is 571

Prime Factorization of 137 is 137

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

Finding GCD of 725, 638, 571, 137 using LCM Formula

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(725, 638) = 15950

GCD(725, 638) = ( 725 x 638 ) / 15950

GCD(725, 638) = 462550 / 15950

GCD(725, 638) = 29


Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 571

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

LCM(29, 571) = 16559

GCD(29, 571) = ( 29 x 571 ) / 16559

GCD(29, 571) = 16559 / 16559

GCD(29, 571) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 725, 638, 571, 137 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 725, 638, 571, 137

1. What is the GCD of 725, 638, 571, 137?

GCD of 725, 638, 571, 137 is 1


2. Where do I get the detailed procedure to find GCD of 725, 638, 571, 137?

You can find a detailed procedure to find GCD of 725, 638, 571, 137 on our page.


3. How to find GCD of 725, 638, 571, 137 on a calculator?

You can find the GCD of 725, 638, 571, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.