GCD of 684, 397, 12 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 684, 397, 12 i.e. 1 largest integer that divides all the numbers equally.

GCD of 684, 397, 12 is 1

GCD(684, 397, 12) = 1

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

GCD of

GCD of numbers 684, 397, 12 is 1

GCD(684, 397, 12) = 1

GCD of 684,397,12 Calculator

GCDof 684,397,12 is 1

Given Input numbers are 684, 397, 12

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 12

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

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 684, 397, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 397, 12 is 1.

Therefore, GCD of numbers 684, 397, 12 is 1

Finding GCD of 684, 397, 12 using Prime Factorization

Given Input Data is 684, 397, 12

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 397 is 397

Prime Factorization of 12 is 2 x 2 x 3

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

Finding GCD of 684, 397, 12 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(684, 397) = 271548

GCD(684, 397) = ( 684 x 397 ) / 271548

GCD(684, 397) = 271548 / 271548

GCD(684, 397) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 684, 397, 12 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 684, 397, 12

1. What is the GCD of 684, 397, 12?

GCD of 684, 397, 12 is 1


2. Where do I get the detailed procedure to find GCD of 684, 397, 12?

You can find a detailed procedure to find GCD of 684, 397, 12 on our page.


3. How to find GCD of 684, 397, 12 on a calculator?

You can find the GCD of 684, 397, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.