GCD of 292, 500, 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 292, 500, 137 i.e. 1 largest integer that divides all the numbers equally.

GCD of 292, 500, 137 is 1

GCD(292, 500, 137) = 1

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

GCD of

GCD of numbers 292, 500, 137 is 1

GCD(292, 500, 137) = 1

GCD of 292,500,137 Calculator

GCDof 292,500,137 is 1

Given Input numbers are 292, 500, 137

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 292, 500, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 500, 137 is 1.

Therefore, GCD of numbers 292, 500, 137 is 1

Finding GCD of 292, 500, 137 using Prime Factorization

Given Input Data is 292, 500, 137

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 137 is 137

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

Finding GCD of 292, 500, 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(292, 500) = 36500

GCD(292, 500) = ( 292 x 500 ) / 36500

GCD(292, 500) = 146000 / 36500

GCD(292, 500) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 137

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

LCM(4, 137) = 548

GCD(4, 137) = ( 4 x 137 ) / 548

GCD(4, 137) = 548 / 548

GCD(4, 137) = 1

GCD of 292, 500, 137 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 292, 500, 137

1. What is the GCD of 292, 500, 137?

GCD of 292, 500, 137 is 1


2. Where do I get the detailed procedure to find GCD of 292, 500, 137?

You can find a detailed procedure to find GCD of 292, 500, 137 on our page.


3. How to find GCD of 292, 500, 137 on a calculator?

You can find the GCD of 292, 500, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.