GCD of 108, 572, 22, 632 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 108, 572, 22, 632 i.e. 2 largest integer that divides all the numbers equally.

GCD of 108, 572, 22, 632 is 2

GCD(108, 572, 22, 632) = 2

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

GCD of

GCD of numbers 108, 572, 22, 632 is 2

GCD(108, 572, 22, 632) = 2

GCD of 108,572,22,632 Calculator

GCDof 108,572,22,632 is 2

Given Input numbers are 108, 572, 22, 632

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

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 108, 572, 22, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 572, 22, 632 is 2.

Therefore, GCD of numbers 108, 572, 22, 632 is 2

Finding GCD of 108, 572, 22, 632 using Prime Factorization

Given Input Data is 108, 572, 22, 632

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

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 632 is 2 x 2 x 2 x 79

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 108, 572, 22, 632 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(108, 572) = 15444

GCD(108, 572) = ( 108 x 572 ) / 15444

GCD(108, 572) = 61776 / 15444

GCD(108, 572) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 108, 572, 22, 632 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 108, 572, 22, 632

1. What is the GCD of 108, 572, 22, 632?

GCD of 108, 572, 22, 632 is 2


2. Where do I get the detailed procedure to find GCD of 108, 572, 22, 632?

You can find a detailed procedure to find GCD of 108, 572, 22, 632 on our page.


3. How to find GCD of 108, 572, 22, 632 on a calculator?

You can find the GCD of 108, 572, 22, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.