GCD of 113, 976, 68, 331 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 113, 976, 68, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 113, 976, 68, 331 is 1

GCD(113, 976, 68, 331) = 1

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

GCD of

GCD of numbers 113, 976, 68, 331 is 1

GCD(113, 976, 68, 331) = 1

GCD of 113,976,68,331 Calculator

GCDof 113,976,68,331 is 1

Given Input numbers are 113, 976, 68, 331

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 113, 976, 68, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 976, 68, 331 is 1.

Therefore, GCD of numbers 113, 976, 68, 331 is 1

Finding GCD of 113, 976, 68, 331 using Prime Factorization

Given Input Data is 113, 976, 68, 331

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

Prime Factorization of 113 is 113

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 331 is 331

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

Finding GCD of 113, 976, 68, 331 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(113, 976) = 110288

GCD(113, 976) = ( 113 x 976 ) / 110288

GCD(113, 976) = 110288 / 110288

GCD(113, 976) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 113, 976, 68, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 113, 976, 68, 331

1. What is the GCD of 113, 976, 68, 331?

GCD of 113, 976, 68, 331 is 1


2. Where do I get the detailed procedure to find GCD of 113, 976, 68, 331?

You can find a detailed procedure to find GCD of 113, 976, 68, 331 on our page.


3. How to find GCD of 113, 976, 68, 331 on a calculator?

You can find the GCD of 113, 976, 68, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.