GCD of 68, 12, 31 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 68, 12, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 68, 12, 31 is 1

GCD(68, 12, 31) = 1

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

GCD of

GCD of numbers 68, 12, 31 is 1

GCD(68, 12, 31) = 1

GCD of 68,12,31 Calculator

GCDof 68,12,31 is 1

Given Input numbers are 68, 12, 31

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 68, 12, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 12, 31 is 1.

Therefore, GCD of numbers 68, 12, 31 is 1

Finding GCD of 68, 12, 31 using Prime Factorization

Given Input Data is 68, 12, 31

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 31 is 31

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

Finding GCD of 68, 12, 31 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(68, 12) = 204

GCD(68, 12) = ( 68 x 12 ) / 204

GCD(68, 12) = 816 / 204

GCD(68, 12) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

GCD of 68, 12, 31 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 68, 12, 31

1. What is the GCD of 68, 12, 31?

GCD of 68, 12, 31 is 1


2. Where do I get the detailed procedure to find GCD of 68, 12, 31?

You can find a detailed procedure to find GCD of 68, 12, 31 on our page.


3. How to find GCD of 68, 12, 31 on a calculator?

You can find the GCD of 68, 12, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.