GCD of 752, 218, 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 752, 218, 924 i.e. 2 largest integer that divides all the numbers equally.

GCD of 752, 218, 924 is 2

GCD(752, 218, 924) = 2

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

GCD of

GCD of numbers 752, 218, 924 is 2

GCD(752, 218, 924) = 2

GCD of 752,218,924 Calculator

GCDof 752,218,924 is 2

Given Input numbers are 752, 218, 924

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 752, 218, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 218, 924 is 2.

Therefore, GCD of numbers 752, 218, 924 is 2

Finding GCD of 752, 218, 924 using Prime Factorization

Given Input Data is 752, 218, 924

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 218 is 2 x 109

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 752, 218, 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(752, 218) = 81968

GCD(752, 218) = ( 752 x 218 ) / 81968

GCD(752, 218) = 163936 / 81968

GCD(752, 218) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 752, 218, 924 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 218, 924

1. What is the GCD of 752, 218, 924?

GCD of 752, 218, 924 is 2


2. Where do I get the detailed procedure to find GCD of 752, 218, 924?

You can find a detailed procedure to find GCD of 752, 218, 924 on our page.


3. How to find GCD of 752, 218, 924 on a calculator?

You can find the GCD of 752, 218, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.