GCD of 291, 793, 31, 959 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 291, 793, 31, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 291, 793, 31, 959 is 1

GCD(291, 793, 31, 959) = 1

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

GCD of

GCD of numbers 291, 793, 31, 959 is 1

GCD(291, 793, 31, 959) = 1

GCD of 291,793,31,959 Calculator

GCDof 291,793,31,959 is 1

Given Input numbers are 291, 793, 31, 959

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 793

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

1, 13, 61, 793

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 291, 793, 31, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 793, 31, 959 is 1.

Therefore, GCD of numbers 291, 793, 31, 959 is 1

Finding GCD of 291, 793, 31, 959 using Prime Factorization

Given Input Data is 291, 793, 31, 959

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 793 is 13 x 61

Prime Factorization of 31 is 31

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 291, 793, 31, 959 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(291, 793) = 230763

GCD(291, 793) = ( 291 x 793 ) / 230763

GCD(291, 793) = 230763 / 230763

GCD(291, 793) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 291, 793, 31, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 291, 793, 31, 959

1. What is the GCD of 291, 793, 31, 959?

GCD of 291, 793, 31, 959 is 1


2. Where do I get the detailed procedure to find GCD of 291, 793, 31, 959?

You can find a detailed procedure to find GCD of 291, 793, 31, 959 on our page.


3. How to find GCD of 291, 793, 31, 959 on a calculator?

You can find the GCD of 291, 793, 31, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.