Where do I get the detailed procedure to find GCD of 729, 723, 939?

You can find a detailed procedure to find GCD of 729, 723, 939 on our page.

How to find GCD of 729, 723, 939 on a calculator?

You can find the GCD of 729, 723, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 729, 723, 939 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 729, 723, 939 quickly. Get the easiest ways to solve the greatest common divisor of 729, 723, 939 i.e 3 in different methods as follows.

How to Find GCD of Numbers 729, 723, 939 with Factoring?

Given Input numbers are 729, 723, 939

In the factoring method, we have to find the divisors of all numbers

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

GCD of numbers is the greatest common divisor

So, the GCD (729, 723, 939) = 3.

Find GCD of 729, 723, 939 using Prime Factorization

Given numbers are 729, 723, 939

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 723 are 3 x 241

Prime factors of 939 are 3 x 313

The highest common occurrence is 3¹

Therefore, GCD of 729, 723, 939 is 3.

Steps to Calculate GCD of 729, 723, 939 using LCM Formula

Given numbers are 729, 723, 939

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(729, 723) = 175689

GCD(729, 723) = ( 729 x 723 ) / 175689

= 729 / 723

= 729

Step2:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3

So, Greatest Common Divisor of 729, 723, 939 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 729, 723, 939

Given numbers are 729, 723, 939
The greatest common divisor of numbers 729, 723, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 723, 939 is 3.

FAQs on GCD of 729, 723, 939 Calculator

1. What is the GCD of 729, 723, 939?

GCD of given numbers 729, 723, 939 is 3

2. How to calculate the greatest common divisor of 729, 723, 939?

We can find the highest common divisor of 729, 723, 939 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 729, 723, 939 i.e 3.

3. How can I use the GCD of 729, 723, 939Calculator?

Out the numbers 729, 723, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.