GCD of 331, 939, 689, 940 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 331, 939, 689, 940 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 939, 689, 940 is 1

GCD(331, 939, 689, 940) = 1

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

GCD of

GCD of numbers 331, 939, 689, 940 is 1

GCD(331, 939, 689, 940) = 1

GCD of 331,939,689,940 Calculator

GCDof 331,939,689,940 is 1

Given Input numbers are 331, 939, 689, 940

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 331, 939, 689, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 939, 689, 940 is 1.

Therefore, GCD of numbers 331, 939, 689, 940 is 1

Finding GCD of 331, 939, 689, 940 using Prime Factorization

Given Input Data is 331, 939, 689, 940

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

Prime Factorization of 331 is 331

Prime Factorization of 939 is 3 x 313

Prime Factorization of 689 is 13 x 53

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Finding GCD of 331, 939, 689, 940 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(331, 939) = 310809

GCD(331, 939) = ( 331 x 939 ) / 310809

GCD(331, 939) = 310809 / 310809

GCD(331, 939) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 331, 939, 689, 940 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 939, 689, 940

1. What is the GCD of 331, 939, 689, 940?

GCD of 331, 939, 689, 940 is 1


2. Where do I get the detailed procedure to find GCD of 331, 939, 689, 940?

You can find a detailed procedure to find GCD of 331, 939, 689, 940 on our page.


3. How to find GCD of 331, 939, 689, 940 on a calculator?

You can find the GCD of 331, 939, 689, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.