GCD of 912, 524, 240 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 912, 524, 240 i.e. 4 largest integer that divides all the numbers equally.

GCD of 912, 524, 240 is 4

GCD(912, 524, 240) = 4

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

GCD of

GCD of numbers 912, 524, 240 is 4

GCD(912, 524, 240) = 4

GCD of 912,524,240 Calculator

GCDof 912,524,240 is 4

Given Input numbers are 912, 524, 240

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 912, 524, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 524, 240 is 4.

Therefore, GCD of numbers 912, 524, 240 is 4

Finding GCD of 912, 524, 240 using Prime Factorization

Given Input Data is 912, 524, 240

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 912, 524, 240 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(912, 524) = 119472

GCD(912, 524) = ( 912 x 524 ) / 119472

GCD(912, 524) = 477888 / 119472

GCD(912, 524) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 240

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

LCM(4, 240) = 240

GCD(4, 240) = ( 4 x 240 ) / 240

GCD(4, 240) = 960 / 240

GCD(4, 240) = 4

GCD of 912, 524, 240 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 912, 524, 240

1. What is the GCD of 912, 524, 240?

GCD of 912, 524, 240 is 4


2. Where do I get the detailed procedure to find GCD of 912, 524, 240?

You can find a detailed procedure to find GCD of 912, 524, 240 on our page.


3. How to find GCD of 912, 524, 240 on a calculator?

You can find the GCD of 912, 524, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.