GCD of 65, 39, 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 65, 39, 12 i.e. 1 largest integer that divides all the numbers equally.

GCD of 65, 39, 12 is 1

GCD(65, 39, 12) = 1

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

GCD of

GCD of numbers 65, 39, 12 is 1

GCD(65, 39, 12) = 1

GCD of 65,39,12 Calculator

GCDof 65,39,12 is 1

Given Input numbers are 65, 39, 12

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 65, 39, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 39, 12 is 1.

Therefore, GCD of numbers 65, 39, 12 is 1

Finding GCD of 65, 39, 12 using Prime Factorization

Given Input Data is 65, 39, 12

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 39 is 3 x 13

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 65, 39, 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(65, 39) = 195

GCD(65, 39) = ( 65 x 39 ) / 195

GCD(65, 39) = 2535 / 195

GCD(65, 39) = 13


Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 12

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

LCM(13, 12) = 156

GCD(13, 12) = ( 13 x 12 ) / 156

GCD(13, 12) = 156 / 156

GCD(13, 12) = 1

GCD of 65, 39, 12 is 1

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FAQs on GCD of numbers 65, 39, 12

1. What is the GCD of 65, 39, 12?

GCD of 65, 39, 12 is 1


2. Where do I get the detailed procedure to find GCD of 65, 39, 12?

You can find a detailed procedure to find GCD of 65, 39, 12 on our page.


3. How to find GCD of 65, 39, 12 on a calculator?

You can find the GCD of 65, 39, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.