GCD of 921, 311, 72, 491 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 921, 311, 72, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 921, 311, 72, 491 is 1

GCD(921, 311, 72, 491) = 1

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

GCD of

GCD of numbers 921, 311, 72, 491 is 1

GCD(921, 311, 72, 491) = 1

GCD of 921,311,72,491 Calculator

GCDof 921,311,72,491 is 1

Given Input numbers are 921, 311, 72, 491

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 921, 311, 72, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 311, 72, 491 is 1.

Therefore, GCD of numbers 921, 311, 72, 491 is 1

Finding GCD of 921, 311, 72, 491 using Prime Factorization

Given Input Data is 921, 311, 72, 491

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 311 is 311

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 491 is 491

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

Finding GCD of 921, 311, 72, 491 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(921, 311) = 286431

GCD(921, 311) = ( 921 x 311 ) / 286431

GCD(921, 311) = 286431 / 286431

GCD(921, 311) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 921, 311, 72, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 921, 311, 72, 491

1. What is the GCD of 921, 311, 72, 491?

GCD of 921, 311, 72, 491 is 1


2. Where do I get the detailed procedure to find GCD of 921, 311, 72, 491?

You can find a detailed procedure to find GCD of 921, 311, 72, 491 on our page.


3. How to find GCD of 921, 311, 72, 491 on a calculator?

You can find the GCD of 921, 311, 72, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.