GCD of 936, 676, 644, 604 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 936, 676, 644, 604 i.e. 4 largest integer that divides all the numbers equally.

GCD of 936, 676, 644, 604 is 4

GCD(936, 676, 644, 604) = 4

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

GCD of

GCD of numbers 936, 676, 644, 604 is 4

GCD(936, 676, 644, 604) = 4

GCD of 936,676,644,604 Calculator

GCDof 936,676,644,604 is 4

Given Input numbers are 936, 676, 644, 604

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 936, 676, 644, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 676, 644, 604 is 4.

Therefore, GCD of numbers 936, 676, 644, 604 is 4

Finding GCD of 936, 676, 644, 604 using Prime Factorization

Given Input Data is 936, 676, 644, 604

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 604 is 2 x 2 x 151

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 936, 676, 644, 604 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(936, 676) = 12168

GCD(936, 676) = ( 936 x 676 ) / 12168

GCD(936, 676) = 632736 / 12168

GCD(936, 676) = 52


Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 644

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

LCM(52, 644) = 8372

GCD(52, 644) = ( 52 x 644 ) / 8372

GCD(52, 644) = 33488 / 8372

GCD(52, 644) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 604

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

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

GCD(4, 604) = 2416 / 604

GCD(4, 604) = 4

GCD of 936, 676, 644, 604 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 936, 676, 644, 604

1. What is the GCD of 936, 676, 644, 604?

GCD of 936, 676, 644, 604 is 4


2. Where do I get the detailed procedure to find GCD of 936, 676, 644, 604?

You can find a detailed procedure to find GCD of 936, 676, 644, 604 on our page.


3. How to find GCD of 936, 676, 644, 604 on a calculator?

You can find the GCD of 936, 676, 644, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.