GCD of 508, 932, 543, 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 508, 932, 543, 924 i.e. 1 largest integer that divides all the numbers equally.

GCD of 508, 932, 543, 924 is 1

GCD(508, 932, 543, 924) = 1

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

GCD of

GCD of numbers 508, 932, 543, 924 is 1

GCD(508, 932, 543, 924) = 1

GCD of 508,932,543,924 Calculator

GCDof 508,932,543,924 is 1

Given Input numbers are 508, 932, 543, 924

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

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 508, 932, 543, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 932, 543, 924 is 1.

Therefore, GCD of numbers 508, 932, 543, 924 is 1

Finding GCD of 508, 932, 543, 924 using Prime Factorization

Given Input Data is 508, 932, 543, 924

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 543 is 3 x 181

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

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

Finding GCD of 508, 932, 543, 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(508, 932) = 118364

GCD(508, 932) = ( 508 x 932 ) / 118364

GCD(508, 932) = 473456 / 118364

GCD(508, 932) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 543

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

LCM(4, 543) = 2172

GCD(4, 543) = ( 4 x 543 ) / 2172

GCD(4, 543) = 2172 / 2172

GCD(4, 543) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 508, 932, 543, 924 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 508, 932, 543, 924

1. What is the GCD of 508, 932, 543, 924?

GCD of 508, 932, 543, 924 is 1


2. Where do I get the detailed procedure to find GCD of 508, 932, 543, 924?

You can find a detailed procedure to find GCD of 508, 932, 543, 924 on our page.


3. How to find GCD of 508, 932, 543, 924 on a calculator?

You can find the GCD of 508, 932, 543, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.