Where do I get the detailed procedure to find GCD of 978, 744, 609?

You can find a detailed procedure to find GCD of 978, 744, 609 on our page.

How to find GCD of 978, 744, 609 on a calculator?

You can find the GCD of 978, 744, 609 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 978, 744, 609 Calculator

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

Online GCD Calculator is useful to find the GCD of 978, 744, 609 quickly. Get the easiest ways to solve the greatest common divisor of 978, 744, 609 i.e 3 in different methods as follows.

How to Find GCD of Numbers 978, 744, 609 with Factoring?

Given Input numbers are 978, 744, 609

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

Divisors of 978 :

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

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (978, 744, 609) = 3.

Find GCD of 978, 744, 609 using Prime Factorization

Given numbers are 978, 744, 609

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 978, 744, 609 is 3.

Steps to Calculate GCD of 978, 744, 609 using LCM Formula

Given numbers are 978, 744, 609

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

Apply this formula for all numbers.

Step1:

LCM(978, 744) = 121272

GCD(978, 744) = ( 978 x 744 ) / 121272

= 978 / 744

= 978

Step2:

LCM(6, 609) = 1218

GCD(6, 609) = ( 6 x 609 ) / 1218

= 6 / 609

= 6

So, Greatest Common Divisor of 978, 744, 609 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 978, 744, 609

Given numbers are 978, 744, 609
The greatest common divisor of numbers 978, 744, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 744, 609 is 3.

FAQs on GCD of 978, 744, 609 Calculator

1. What is the GCD of 978, 744, 609?

GCD of given numbers 978, 744, 609 is 3

2. How to calculate the greatest common divisor of 978, 744, 609?

We can find the highest common divisor of 978, 744, 609 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 978, 744, 609 i.e 3.

3. How can I use the GCD of 978, 744, 609Calculator?

Out the numbers 978, 744, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.