GCD of 116, 691, 286, 982 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 116, 691, 286, 982 i.e. 1 largest integer that divides all the numbers equally.

GCD of 116, 691, 286, 982 is 1

GCD(116, 691, 286, 982) = 1

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

GCD of

GCD of numbers 116, 691, 286, 982 is 1

GCD(116, 691, 286, 982) = 1

GCD of 116,691,286,982 Calculator

GCDof 116,691,286,982 is 1

Given Input numbers are 116, 691, 286, 982

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 116, 691, 286, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 691, 286, 982 is 1.

Therefore, GCD of numbers 116, 691, 286, 982 is 1

Finding GCD of 116, 691, 286, 982 using Prime Factorization

Given Input Data is 116, 691, 286, 982

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 691 is 691

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 982 is 2 x 491

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

Finding GCD of 116, 691, 286, 982 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(116, 691) = 80156

GCD(116, 691) = ( 116 x 691 ) / 80156

GCD(116, 691) = 80156 / 80156

GCD(116, 691) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 116, 691, 286, 982 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 116, 691, 286, 982

1. What is the GCD of 116, 691, 286, 982?

GCD of 116, 691, 286, 982 is 1


2. Where do I get the detailed procedure to find GCD of 116, 691, 286, 982?

You can find a detailed procedure to find GCD of 116, 691, 286, 982 on our page.


3. How to find GCD of 116, 691, 286, 982 on a calculator?

You can find the GCD of 116, 691, 286, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.