GCD of 759, 299, 339 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 759, 299, 339 i.e. 1 largest integer that divides all the numbers equally.

GCD of 759, 299, 339 is 1

GCD(759, 299, 339) = 1

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

GCD of

GCD of numbers 759, 299, 339 is 1

GCD(759, 299, 339) = 1

GCD of 759,299,339 Calculator

GCDof 759,299,339 is 1

Given Input numbers are 759, 299, 339

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 759, 299, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 299, 339 is 1.

Therefore, GCD of numbers 759, 299, 339 is 1

Finding GCD of 759, 299, 339 using Prime Factorization

Given Input Data is 759, 299, 339

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 299 is 13 x 23

Prime Factorization of 339 is 3 x 113

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

Finding GCD of 759, 299, 339 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(759, 299) = 9867

GCD(759, 299) = ( 759 x 299 ) / 9867

GCD(759, 299) = 226941 / 9867

GCD(759, 299) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 339

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

LCM(23, 339) = 7797

GCD(23, 339) = ( 23 x 339 ) / 7797

GCD(23, 339) = 7797 / 7797

GCD(23, 339) = 1

GCD of 759, 299, 339 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 759, 299, 339

1. What is the GCD of 759, 299, 339?

GCD of 759, 299, 339 is 1

2. Where do I get the detailed procedure to find GCD of 759, 299, 339?

You can find a detailed procedure to find GCD of 759, 299, 339 on our page.

3. How to find GCD of 759, 299, 339 on a calculator?

You can find the GCD of 759, 299, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.