GCD of 687, 931, 252, 491 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 687, 931, 252, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 687, 931, 252, 491 is 1

GCD(687, 931, 252, 491) = 1

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

GCD of

GCD of numbers 687, 931, 252, 491 is 1

GCD(687, 931, 252, 491) = 1

GCD of 687,931,252,491 Calculator

GCDof 687,931,252,491 is 1

Given Input numbers are 687, 931, 252, 491

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 687, 931, 252, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 931, 252, 491 is 1.

Therefore, GCD of numbers 687, 931, 252, 491 is 1

Finding GCD of 687, 931, 252, 491 using Prime Factorization

Given Input Data is 687, 931, 252, 491

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 491 is 491

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

Finding GCD of 687, 931, 252, 491 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(687, 931) = 639597

GCD(687, 931) = ( 687 x 931 ) / 639597

GCD(687, 931) = 639597 / 639597

GCD(687, 931) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 687, 931, 252, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 687, 931, 252, 491

1. What is the GCD of 687, 931, 252, 491?

GCD of 687, 931, 252, 491 is 1


2. Where do I get the detailed procedure to find GCD of 687, 931, 252, 491?

You can find a detailed procedure to find GCD of 687, 931, 252, 491 on our page.


3. How to find GCD of 687, 931, 252, 491 on a calculator?

You can find the GCD of 687, 931, 252, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.