GCD of 331, 363, 21, 661 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, 363, 21, 661 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 363, 21, 661 is 1

GCD(331, 363, 21, 661) = 1

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

GCD of

GCD of numbers 331, 363, 21, 661 is 1

GCD(331, 363, 21, 661) = 1

GCD of 331,363,21,661 Calculator

GCDof 331,363,21,661 is 1

Given Input numbers are 331, 363, 21, 661

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 363

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

1, 3, 11, 33, 121, 363

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 331, 363, 21, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 363, 21, 661 is 1.

Therefore, GCD of numbers 331, 363, 21, 661 is 1

Finding GCD of 331, 363, 21, 661 using Prime Factorization

Given Input Data is 331, 363, 21, 661

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

Prime Factorization of 331 is 331

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 661 is 661

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

Finding GCD of 331, 363, 21, 661 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, 363) = 120153

GCD(331, 363) = ( 331 x 363 ) / 120153

GCD(331, 363) = 120153 / 120153

GCD(331, 363) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 331, 363, 21, 661 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 363, 21, 661

1. What is the GCD of 331, 363, 21, 661?

GCD of 331, 363, 21, 661 is 1


2. Where do I get the detailed procedure to find GCD of 331, 363, 21, 661?

You can find a detailed procedure to find GCD of 331, 363, 21, 661 on our page.


3. How to find GCD of 331, 363, 21, 661 on a calculator?

You can find the GCD of 331, 363, 21, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.