GCD of 920, 538, 399 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 920, 538, 399 i.e. 1 largest integer that divides all the numbers equally.

GCD of 920, 538, 399 is 1

GCD(920, 538, 399) = 1

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

GCD of

GCD of numbers 920, 538, 399 is 1

GCD(920, 538, 399) = 1

GCD of 920,538,399 Calculator

GCDof 920,538,399 is 1

Given Input numbers are 920, 538, 399

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 920, 538, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 538, 399 is 1.

Therefore, GCD of numbers 920, 538, 399 is 1

Finding GCD of 920, 538, 399 using Prime Factorization

Given Input Data is 920, 538, 399

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 538 is 2 x 269

Prime Factorization of 399 is 3 x 7 x 19

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

Finding GCD of 920, 538, 399 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(920, 538) = 247480

GCD(920, 538) = ( 920 x 538 ) / 247480

GCD(920, 538) = 494960 / 247480

GCD(920, 538) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

GCD of 920, 538, 399 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 920, 538, 399

1. What is the GCD of 920, 538, 399?

GCD of 920, 538, 399 is 1


2. Where do I get the detailed procedure to find GCD of 920, 538, 399?

You can find a detailed procedure to find GCD of 920, 538, 399 on our page.


3. How to find GCD of 920, 538, 399 on a calculator?

You can find the GCD of 920, 538, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.