GCD of 842, 981, 724, 494 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 842, 981, 724, 494 i.e. 1 largest integer that divides all the numbers equally.

GCD of 842, 981, 724, 494 is 1

GCD(842, 981, 724, 494) = 1

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

GCD of

GCD of numbers 842, 981, 724, 494 is 1

GCD(842, 981, 724, 494) = 1

GCD of 842,981,724,494 Calculator

GCDof 842,981,724,494 is 1

Given Input numbers are 842, 981, 724, 494

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 842, 981, 724, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 981, 724, 494 is 1.

Therefore, GCD of numbers 842, 981, 724, 494 is 1

Finding GCD of 842, 981, 724, 494 using Prime Factorization

Given Input Data is 842, 981, 724, 494

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 494 is 2 x 13 x 19

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

Finding GCD of 842, 981, 724, 494 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(842, 981) = 826002

GCD(842, 981) = ( 842 x 981 ) / 826002

GCD(842, 981) = 826002 / 826002

GCD(842, 981) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 842, 981, 724, 494 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 842, 981, 724, 494

1. What is the GCD of 842, 981, 724, 494?

GCD of 842, 981, 724, 494 is 1


2. Where do I get the detailed procedure to find GCD of 842, 981, 724, 494?

You can find a detailed procedure to find GCD of 842, 981, 724, 494 on our page.


3. How to find GCD of 842, 981, 724, 494 on a calculator?

You can find the GCD of 842, 981, 724, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.