GCD of 320, 540, 638 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 320, 540, 638 i.e. 2 largest integer that divides all the numbers equally.

GCD of 320, 540, 638 is 2

GCD(320, 540, 638) = 2

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

GCD of

GCD of numbers 320, 540, 638 is 2

GCD(320, 540, 638) = 2

GCD of 320,540,638 Calculator

GCDof 320,540,638 is 2

Given Input numbers are 320, 540, 638

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 638

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

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

Greatest Common Divisior

We found the divisors of 320, 540, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 540, 638 is 2.

Therefore, GCD of numbers 320, 540, 638 is 2

Finding GCD of 320, 540, 638 using Prime Factorization

Given Input Data is 320, 540, 638

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 638 is 2 x 11 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 320, 540, 638 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(320, 540) = 8640

GCD(320, 540) = ( 320 x 540 ) / 8640

GCD(320, 540) = 172800 / 8640

GCD(320, 540) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 638

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

LCM(20, 638) = 6380

GCD(20, 638) = ( 20 x 638 ) / 6380

GCD(20, 638) = 12760 / 6380

GCD(20, 638) = 2

GCD of 320, 540, 638 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 320, 540, 638

1. What is the GCD of 320, 540, 638?

GCD of 320, 540, 638 is 2

2. Where do I get the detailed procedure to find GCD of 320, 540, 638?

You can find a detailed procedure to find GCD of 320, 540, 638 on our page.

3. How to find GCD of 320, 540, 638 on a calculator?

You can find the GCD of 320, 540, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.