GCD of 982, 708, 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 982, 708, 39 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 708, 39 is 1

GCD(982, 708, 39) = 1

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

GCD of

GCD of numbers 982, 708, 39 is 1

GCD(982, 708, 39) = 1

GCD of 982,708,39 Calculator

GCDof 982,708,39 is 1

Given Input numbers are 982, 708, 39

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 982, 708, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 708, 39 is 1.

Therefore, GCD of numbers 982, 708, 39 is 1

Finding GCD of 982, 708, 39 using Prime Factorization

Given Input Data is 982, 708, 39

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 708 is 2 x 2 x 3 x 59

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 982, 708, 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(982, 708) = 347628

GCD(982, 708) = ( 982 x 708 ) / 347628

GCD(982, 708) = 695256 / 347628

GCD(982, 708) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

GCD of 982, 708, 39 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 708, 39

1. What is the GCD of 982, 708, 39?

GCD of 982, 708, 39 is 1


2. Where do I get the detailed procedure to find GCD of 982, 708, 39?

You can find a detailed procedure to find GCD of 982, 708, 39 on our page.


3. How to find GCD of 982, 708, 39 on a calculator?

You can find the GCD of 982, 708, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.