GCD of 242, 500, 793 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 242, 500, 793 i.e. 1 largest integer that divides all the numbers equally.

GCD of 242, 500, 793 is 1

GCD(242, 500, 793) = 1

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

GCD of

GCD of numbers 242, 500, 793 is 1

GCD(242, 500, 793) = 1

GCD of 242,500,793 Calculator

GCDof 242,500,793 is 1

Given Input numbers are 242, 500, 793

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

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 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 242, 500, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 500, 793 is 1.

Therefore, GCD of numbers 242, 500, 793 is 1

Finding GCD of 242, 500, 793 using Prime Factorization

Given Input Data is 242, 500, 793

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

Prime Factorization of 242 is 2 x 11 x 11

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

Prime Factorization of 793 is 13 x 61

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

Finding GCD of 242, 500, 793 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(242, 500) = 60500

GCD(242, 500) = ( 242 x 500 ) / 60500

GCD(242, 500) = 121000 / 60500

GCD(242, 500) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 793

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

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

GCD(2, 793) = 1586 / 1586

GCD(2, 793) = 1

GCD of 242, 500, 793 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 242, 500, 793

1. What is the GCD of 242, 500, 793?

GCD of 242, 500, 793 is 1


2. Where do I get the detailed procedure to find GCD of 242, 500, 793?

You can find a detailed procedure to find GCD of 242, 500, 793 on our page.


3. How to find GCD of 242, 500, 793 on a calculator?

You can find the GCD of 242, 500, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.