Where do I get the detailed procedure to find GCD of 339, 978, 309?

You can find a detailed procedure to find GCD of 339, 978, 309 on our page.

How to find GCD of 339, 978, 309 on a calculator?

You can find the GCD of 339, 978, 309 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 339, 978, 309 Calculator

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

Online GCD Calculator is useful to find the GCD of 339, 978, 309 quickly. Get the easiest ways to solve the greatest common divisor of 339, 978, 309 i.e 3 in different methods as follows.

How to Find GCD of Numbers 339, 978, 309 with Factoring?

Given Input numbers are 339, 978, 309

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (339, 978, 309) = 3.

Find GCD of 339, 978, 309 using Prime Factorization

Given numbers are 339, 978, 309

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 978 are 2 x 3 x 163

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 339, 978, 309 is 3.

Steps to Calculate GCD of 339, 978, 309 using LCM Formula

Given numbers are 339, 978, 309

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

Apply this formula for all numbers.

Step1:

LCM(339, 978) = 110514

GCD(339, 978) = ( 339 x 978 ) / 110514

= 339 / 978

= 339

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

So, Greatest Common Divisor of 339, 978, 309 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 339, 978, 309

Given numbers are 339, 978, 309
The greatest common divisor of numbers 339, 978, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 978, 309 is 3.

FAQs on GCD of 339, 978, 309 Calculator

1. What is the GCD of 339, 978, 309?

GCD of given numbers 339, 978, 309 is 3

2. How to calculate the greatest common divisor of 339, 978, 309?

We can find the highest common divisor of 339, 978, 309 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 339, 978, 309 i.e 3.

3. How can I use the GCD of 339, 978, 309Calculator?

Out the numbers 339, 978, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.