GCD of 24, 981, 794, 320 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 24, 981, 794, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 24, 981, 794, 320 is 1

GCD(24, 981, 794, 320) = 1

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

GCD of

GCD of numbers 24, 981, 794, 320 is 1

GCD(24, 981, 794, 320) = 1

GCD of 24,981,794,320 Calculator

GCDof 24,981,794,320 is 1

Given Input numbers are 24, 981, 794, 320

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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

Greatest Common Divisior

We found the divisors of 24, 981, 794, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 981, 794, 320 is 1.

Therefore, GCD of numbers 24, 981, 794, 320 is 1

Finding GCD of 24, 981, 794, 320 using Prime Factorization

Given Input Data is 24, 981, 794, 320

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 794 is 2 x 397

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

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

Finding GCD of 24, 981, 794, 320 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(24, 981) = 7848

GCD(24, 981) = ( 24 x 981 ) / 7848

GCD(24, 981) = 23544 / 7848

GCD(24, 981) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 794

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

LCM(3, 794) = 2382

GCD(3, 794) = ( 3 x 794 ) / 2382

GCD(3, 794) = 2382 / 2382

GCD(3, 794) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 24, 981, 794, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 24, 981, 794, 320

1. What is the GCD of 24, 981, 794, 320?

GCD of 24, 981, 794, 320 is 1


2. Where do I get the detailed procedure to find GCD of 24, 981, 794, 320?

You can find a detailed procedure to find GCD of 24, 981, 794, 320 on our page.


3. How to find GCD of 24, 981, 794, 320 on a calculator?

You can find the GCD of 24, 981, 794, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.