GCD of 638, 520, 80, 324 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 638, 520, 80, 324 i.e. 2 largest integer that divides all the numbers equally.

GCD of 638, 520, 80, 324 is 2

GCD(638, 520, 80, 324) = 2

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

GCD of

GCD of numbers 638, 520, 80, 324 is 2

GCD(638, 520, 80, 324) = 2

GCD of 638,520,80,324 Calculator

GCDof 638,520,80,324 is 2

Given Input numbers are 638, 520, 80, 324

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 638, 520, 80, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 520, 80, 324 is 2.

Therefore, GCD of numbers 638, 520, 80, 324 is 2

Finding GCD of 638, 520, 80, 324 using Prime Factorization

Given Input Data is 638, 520, 80, 324

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 638, 520, 80, 324 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(638, 520) = 165880

GCD(638, 520) = ( 638 x 520 ) / 165880

GCD(638, 520) = 331760 / 165880

GCD(638, 520) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 638, 520, 80, 324 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 638, 520, 80, 324

1. What is the GCD of 638, 520, 80, 324?

GCD of 638, 520, 80, 324 is 2


2. Where do I get the detailed procedure to find GCD of 638, 520, 80, 324?

You can find a detailed procedure to find GCD of 638, 520, 80, 324 on our page.


3. How to find GCD of 638, 520, 80, 324 on a calculator?

You can find the GCD of 638, 520, 80, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.