GCD of 508, 912, 812 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, 912, 812 i.e. 4 largest integer that divides all the numbers equally.

GCD of 508, 912, 812 is 4

GCD(508, 912, 812) = 4

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

GCD of

GCD of numbers 508, 912, 812 is 4

GCD(508, 912, 812) = 4

GCD of 508,912,812 Calculator

GCDof 508,912,812 is 4

Given Input numbers are 508, 912, 812

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 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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 508, 912, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 912, 812 is 4.

Therefore, GCD of numbers 508, 912, 812 is 4

Finding GCD of 508, 912, 812 using Prime Factorization

Given Input Data is 508, 912, 812

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 812 is 2 x 2 x 7 x 29

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 508, 912, 812 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, 912) = 115824

GCD(508, 912) = ( 508 x 912 ) / 115824

GCD(508, 912) = 463296 / 115824

GCD(508, 912) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 812

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

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

GCD(4, 812) = 3248 / 812

GCD(4, 812) = 4

GCD of 508, 912, 812 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 508, 912, 812

1. What is the GCD of 508, 912, 812?

GCD of 508, 912, 812 is 4


2. Where do I get the detailed procedure to find GCD of 508, 912, 812?

You can find a detailed procedure to find GCD of 508, 912, 812 on our page.


3. How to find GCD of 508, 912, 812 on a calculator?

You can find the GCD of 508, 912, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.