GCD of 987, 677, 71, 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 987, 677, 71, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 987, 677, 71, 331 is 1

GCD(987, 677, 71, 331) = 1

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

GCD of

GCD of numbers 987, 677, 71, 331 is 1

GCD(987, 677, 71, 331) = 1

GCD of 987,677,71,331 Calculator

GCDof 987,677,71,331 is 1

Given Input numbers are 987, 677, 71, 331

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 987, 677, 71, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 677, 71, 331 is 1.

Therefore, GCD of numbers 987, 677, 71, 331 is 1

Finding GCD of 987, 677, 71, 331 using Prime Factorization

Given Input Data is 987, 677, 71, 331

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 677 is 677

Prime Factorization of 71 is 71

Prime Factorization of 331 is 331

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

Finding GCD of 987, 677, 71, 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(987, 677) = 668199

GCD(987, 677) = ( 987 x 677 ) / 668199

GCD(987, 677) = 668199 / 668199

GCD(987, 677) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 987, 677, 71, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 987, 677, 71, 331

1. What is the GCD of 987, 677, 71, 331?

GCD of 987, 677, 71, 331 is 1


2. Where do I get the detailed procedure to find GCD of 987, 677, 71, 331?

You can find a detailed procedure to find GCD of 987, 677, 71, 331 on our page.


3. How to find GCD of 987, 677, 71, 331 on a calculator?

You can find the GCD of 987, 677, 71, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.