Where do I get the detailed procedure to find GCD of 713, 589, 339?

You can find a detailed procedure to find GCD of 713, 589, 339 on our page.

How to find GCD of 713, 589, 339 on a calculator?

You can find the GCD of 713, 589, 339 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 713, 589, 339 Calculator

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

Online GCD Calculator is useful to find the GCD of 713, 589, 339 quickly. Get the easiest ways to solve the greatest common divisor of 713, 589, 339 i.e 1 in different methods as follows.

How to Find GCD of Numbers 713, 589, 339 with Factoring?

Given Input numbers are 713, 589, 339

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

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

GCD of numbers is the greatest common divisor

So, the GCD (713, 589, 339) = 1.

Find GCD of 713, 589, 339 using Prime Factorization

Given numbers are 713, 589, 339

The list of prime factors of all numbers are

Prime factors of 713 are 23 x 31

Prime factors of 589 are 19 x 31

Prime factors of 339 are 3 x 113

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

Steps to Calculate GCD of 713, 589, 339 using LCM Formula

Given numbers are 713, 589, 339

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

Apply this formula for all numbers.

Step1:

LCM(713, 589) = 13547

GCD(713, 589) = ( 713 x 589 ) / 13547

= 713 / 589

= 713

Step2:

LCM(31, 339) = 10509

GCD(31, 339) = ( 31 x 339 ) / 10509

= 31 / 339

= 31

So, Greatest Common Divisor of 713, 589, 339 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 713, 589, 339

Given numbers are 713, 589, 339
The greatest common divisor of numbers 713, 589, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 713, 589, 339 is 1.

FAQs on GCD of 713, 589, 339 Calculator

1. What is the GCD of 713, 589, 339?

GCD of given numbers 713, 589, 339 is 1

2. How to calculate the greatest common divisor of 713, 589, 339?

We can find the highest common divisor of 713, 589, 339 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 713, 589, 339 i.e 1.

3. How can I use the GCD of 713, 589, 339Calculator?

Out the numbers 713, 589, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.