GCD of 839, 708, 99, 117 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 839, 708, 99, 117 i.e. 1 largest integer that divides all the numbers equally.

GCD of 839, 708, 99, 117 is 1

GCD(839, 708, 99, 117) = 1

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

GCD of

GCD of numbers 839, 708, 99, 117 is 1

GCD(839, 708, 99, 117) = 1

GCD of 839,708,99,117 Calculator

GCDof 839,708,99,117 is 1

Given Input numbers are 839, 708, 99, 117

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 839, 708, 99, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 708, 99, 117 is 1.

Therefore, GCD of numbers 839, 708, 99, 117 is 1

Finding GCD of 839, 708, 99, 117 using Prime Factorization

Given Input Data is 839, 708, 99, 117

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

Prime Factorization of 839 is 839

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 117 is 3 x 3 x 13

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

Finding GCD of 839, 708, 99, 117 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(839, 708) = 594012

GCD(839, 708) = ( 839 x 708 ) / 594012

GCD(839, 708) = 594012 / 594012

GCD(839, 708) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 839, 708, 99, 117 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 839, 708, 99, 117

1. What is the GCD of 839, 708, 99, 117?

GCD of 839, 708, 99, 117 is 1


2. Where do I get the detailed procedure to find GCD of 839, 708, 99, 117?

You can find a detailed procedure to find GCD of 839, 708, 99, 117 on our page.


3. How to find GCD of 839, 708, 99, 117 on a calculator?

You can find the GCD of 839, 708, 99, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.