GCD of 656, 131, 216, 361 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 656, 131, 216, 361 i.e. 1 largest integer that divides all the numbers equally.

GCD of 656, 131, 216, 361 is 1

GCD(656, 131, 216, 361) = 1

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

GCD of

GCD of numbers 656, 131, 216, 361 is 1

GCD(656, 131, 216, 361) = 1

GCD of 656,131,216,361 Calculator

GCDof 656,131,216,361 is 1

Given Input numbers are 656, 131, 216, 361

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 131

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

1, 131

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 656, 131, 216, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 131, 216, 361 is 1.

Therefore, GCD of numbers 656, 131, 216, 361 is 1

Finding GCD of 656, 131, 216, 361 using Prime Factorization

Given Input Data is 656, 131, 216, 361

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 131 is 131

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 361 is 19 x 19

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

Finding GCD of 656, 131, 216, 361 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(656, 131) = 85936

GCD(656, 131) = ( 656 x 131 ) / 85936

GCD(656, 131) = 85936 / 85936

GCD(656, 131) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 656, 131, 216, 361 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 656, 131, 216, 361

1. What is the GCD of 656, 131, 216, 361?

GCD of 656, 131, 216, 361 is 1


2. Where do I get the detailed procedure to find GCD of 656, 131, 216, 361?

You can find a detailed procedure to find GCD of 656, 131, 216, 361 on our page.


3. How to find GCD of 656, 131, 216, 361 on a calculator?

You can find the GCD of 656, 131, 216, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.