GCD of 31, 16, 39 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 31, 16, 39 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 16, 39 is 1

GCD(31, 16, 39) = 1

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

GCD of

GCD of numbers 31, 16, 39 is 1

GCD(31, 16, 39) = 1

GCD of 31,16,39 Calculator

GCDof 31,16,39 is 1

Given Input numbers are 31, 16, 39

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

Divisors of 31

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

1, 31

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 39

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

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 31, 16, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 16, 39 is 1.

Therefore, GCD of numbers 31, 16, 39 is 1

Finding GCD of 31, 16, 39 using Prime Factorization

Given Input Data is 31, 16, 39

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

Prime Factorization of 31 is 31

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 39 is 3 x 13

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

Finding GCD of 31, 16, 39 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(31, 16) = 496

GCD(31, 16) = ( 31 x 16 ) / 496

GCD(31, 16) = 496 / 496

GCD(31, 16) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 31, 16, 39 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 31, 16, 39

1. What is the GCD of 31, 16, 39?

GCD of 31, 16, 39 is 1


2. Where do I get the detailed procedure to find GCD of 31, 16, 39?

You can find a detailed procedure to find GCD of 31, 16, 39 on our page.


3. How to find GCD of 31, 16, 39 on a calculator?

You can find the GCD of 31, 16, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.