GCD of 216, 665, 31, 968 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 216, 665, 31, 968 i.e. 1 largest integer that divides all the numbers equally.

GCD of 216, 665, 31, 968 is 1

GCD(216, 665, 31, 968) = 1

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

GCD of

GCD of numbers 216, 665, 31, 968 is 1

GCD(216, 665, 31, 968) = 1

GCD of 216,665,31,968 Calculator

GCDof 216,665,31,968 is 1

Given Input numbers are 216, 665, 31, 968

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

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 216, 665, 31, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 665, 31, 968 is 1.

Therefore, GCD of numbers 216, 665, 31, 968 is 1

Finding GCD of 216, 665, 31, 968 using Prime Factorization

Given Input Data is 216, 665, 31, 968

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

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 31 is 31

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Finding GCD of 216, 665, 31, 968 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(216, 665) = 143640

GCD(216, 665) = ( 216 x 665 ) / 143640

GCD(216, 665) = 143640 / 143640

GCD(216, 665) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 216, 665, 31, 968 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 216, 665, 31, 968

1. What is the GCD of 216, 665, 31, 968?

GCD of 216, 665, 31, 968 is 1


2. Where do I get the detailed procedure to find GCD of 216, 665, 31, 968?

You can find a detailed procedure to find GCD of 216, 665, 31, 968 on our page.


3. How to find GCD of 216, 665, 31, 968 on a calculator?

You can find the GCD of 216, 665, 31, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.