GCD of 868, 114, 363 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 868, 114, 363 i.e. 1 largest integer that divides all the numbers equally.

GCD of 868, 114, 363 is 1

GCD(868, 114, 363) = 1

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

GCD of

GCD of numbers 868, 114, 363 is 1

GCD(868, 114, 363) = 1

GCD of 868,114,363 Calculator

GCDof 868,114,363 is 1

Given Input numbers are 868, 114, 363

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 868, 114, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 114, 363 is 1.

Therefore, GCD of numbers 868, 114, 363 is 1

Finding GCD of 868, 114, 363 using Prime Factorization

Given Input Data is 868, 114, 363

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 363 is 3 x 11 x 11

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

Finding GCD of 868, 114, 363 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(868, 114) = 49476

GCD(868, 114) = ( 868 x 114 ) / 49476

GCD(868, 114) = 98952 / 49476

GCD(868, 114) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 868, 114, 363 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 868, 114, 363

1. What is the GCD of 868, 114, 363?

GCD of 868, 114, 363 is 1


2. Where do I get the detailed procedure to find GCD of 868, 114, 363?

You can find a detailed procedure to find GCD of 868, 114, 363 on our page.


3. How to find GCD of 868, 114, 363 on a calculator?

You can find the GCD of 868, 114, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.