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 339, 515, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 339, 515, 729 is 1
GCD(339, 515, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 339, 515, 729 is 1
GCD(339, 515, 729) = 1
Given Input numbers are 339, 515, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 339, 515, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 515, 729 is 1.
Therefore, GCD of numbers 339, 515, 729 is 1
Given Input Data is 339, 515, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 339 is 3 x 113
Prime Factorization of 515 is 5 x 103
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
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(339, 515) = 174585
GCD(339, 515) = ( 339 x 515 ) / 174585
GCD(339, 515) = 174585 / 174585
GCD(339, 515) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 339, 515, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 339, 515, 729?
GCD of 339, 515, 729 is 1
2. Where do I get the detailed procedure to find GCD of 339, 515, 729?
You can find a detailed procedure to find GCD of 339, 515, 729 on our page.
3. How to find GCD of 339, 515, 729 on a calculator?
You can find the GCD of 339, 515, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.