GCD of 287, 363, 69, 131 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 287, 363, 69, 131 i.e. 1 largest integer that divides all the numbers equally.

GCD of 287, 363, 69, 131 is 1

GCD(287, 363, 69, 131) = 1

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

GCD of

GCD of numbers 287, 363, 69, 131 is 1

GCD(287, 363, 69, 131) = 1

GCD of 287,363,69,131 Calculator

GCDof 287,363,69,131 is 1

Given Input numbers are 287, 363, 69, 131

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 287, 363, 69, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 363, 69, 131 is 1.

Therefore, GCD of numbers 287, 363, 69, 131 is 1

Finding GCD of 287, 363, 69, 131 using Prime Factorization

Given Input Data is 287, 363, 69, 131

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 131 is 131

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

Finding GCD of 287, 363, 69, 131 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(287, 363) = 104181

GCD(287, 363) = ( 287 x 363 ) / 104181

GCD(287, 363) = 104181 / 104181

GCD(287, 363) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 287, 363, 69, 131 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 287, 363, 69, 131

1. What is the GCD of 287, 363, 69, 131?

GCD of 287, 363, 69, 131 is 1


2. Where do I get the detailed procedure to find GCD of 287, 363, 69, 131?

You can find a detailed procedure to find GCD of 287, 363, 69, 131 on our page.


3. How to find GCD of 287, 363, 69, 131 on a calculator?

You can find the GCD of 287, 363, 69, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.