GCD of 987, 131, 82, 583 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 987, 131, 82, 583 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 131, 82, 583 is 1

GCD(987, 131, 82, 583) = 1

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

GCD of

GCD of numbers 987, 131, 82, 583 is 1

GCD(987, 131, 82, 583) = 1

GCD of 987,131,82,583 Calculator

GCDof 987,131,82,583 is 1

Given Input numbers are 987, 131, 82, 583

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 131

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

1, 131

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 987, 131, 82, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 131, 82, 583 is 1.

Therefore, GCD of numbers 987, 131, 82, 583 is 1

Finding GCD of 987, 131, 82, 583 using Prime Factorization

Given Input Data is 987, 131, 82, 583

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 131 is 131

Prime Factorization of 82 is 2 x 41

Prime Factorization of 583 is 11 x 53

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

Finding GCD of 987, 131, 82, 583 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(987, 131) = 129297

GCD(987, 131) = ( 987 x 131 ) / 129297

GCD(987, 131) = 129297 / 129297

GCD(987, 131) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 987, 131, 82, 583 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 131, 82, 583

1. What is the GCD of 987, 131, 82, 583?

GCD of 987, 131, 82, 583 is 1


2. Where do I get the detailed procedure to find GCD of 987, 131, 82, 583?

You can find a detailed procedure to find GCD of 987, 131, 82, 583 on our page.


3. How to find GCD of 987, 131, 82, 583 on a calculator?

You can find the GCD of 987, 131, 82, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.