GCD of 824, 108, 26, 631 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 824, 108, 26, 631 i.e. 1 largest integer that divides all the numbers equally.

GCD of 824, 108, 26, 631 is 1

GCD(824, 108, 26, 631) = 1

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

GCD of

GCD of numbers 824, 108, 26, 631 is 1

GCD(824, 108, 26, 631) = 1

GCD of 824,108,26,631 Calculator

GCDof 824,108,26,631 is 1

Given Input numbers are 824, 108, 26, 631

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 824, 108, 26, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 108, 26, 631 is 1.

Therefore, GCD of numbers 824, 108, 26, 631 is 1

Finding GCD of 824, 108, 26, 631 using Prime Factorization

Given Input Data is 824, 108, 26, 631

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 26 is 2 x 13

Prime Factorization of 631 is 631

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

Finding GCD of 824, 108, 26, 631 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(824, 108) = 22248

GCD(824, 108) = ( 824 x 108 ) / 22248

GCD(824, 108) = 88992 / 22248

GCD(824, 108) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 631

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

LCM(2, 631) = 1262

GCD(2, 631) = ( 2 x 631 ) / 1262

GCD(2, 631) = 1262 / 1262

GCD(2, 631) = 1

GCD of 824, 108, 26, 631 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 824, 108, 26, 631

1. What is the GCD of 824, 108, 26, 631?

GCD of 824, 108, 26, 631 is 1


2. Where do I get the detailed procedure to find GCD of 824, 108, 26, 631?

You can find a detailed procedure to find GCD of 824, 108, 26, 631 on our page.


3. How to find GCD of 824, 108, 26, 631 on a calculator?

You can find the GCD of 824, 108, 26, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.