GCD of 908, 192, 76, 924 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 908, 192, 76, 924 i.e. 4 largest integer that divides all the numbers equally.

GCD of 908, 192, 76, 924 is 4

GCD(908, 192, 76, 924) = 4

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

GCD of

GCD of numbers 908, 192, 76, 924 is 4

GCD(908, 192, 76, 924) = 4

GCD of 908,192,76,924 Calculator

GCDof 908,192,76,924 is 4

Given Input numbers are 908, 192, 76, 924

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 908, 192, 76, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 192, 76, 924 is 4.

Therefore, GCD of numbers 908, 192, 76, 924 is 4

Finding GCD of 908, 192, 76, 924 using Prime Factorization

Given Input Data is 908, 192, 76, 924

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 908, 192, 76, 924 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(908, 192) = 43584

GCD(908, 192) = ( 908 x 192 ) / 43584

GCD(908, 192) = 174336 / 43584

GCD(908, 192) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 924

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

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

GCD(4, 924) = 3696 / 924

GCD(4, 924) = 4

GCD of 908, 192, 76, 924 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 908, 192, 76, 924

1. What is the GCD of 908, 192, 76, 924?

GCD of 908, 192, 76, 924 is 4


2. Where do I get the detailed procedure to find GCD of 908, 192, 76, 924?

You can find a detailed procedure to find GCD of 908, 192, 76, 924 on our page.


3. How to find GCD of 908, 192, 76, 924 on a calculator?

You can find the GCD of 908, 192, 76, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.