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GCD of 978, 796, 432 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, 796, 432 quickly. Get the easiest ways to solve the greatest common divisor of 978, 796, 432 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 978, 796, 432 with Factoring?

Given Input numbers are 978, 796, 432

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (978, 796, 432) = 2.

Find GCD of 978, 796, 432 using Prime Factorization

Given numbers are 978, 796, 432

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 796 are 2 x 2 x 199

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 978, 796, 432 is 2.

Steps to Calculate GCD of 978, 796, 432 using LCM Formula

Given numbers are 978, 796, 432

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

Apply this formula for all numbers.

Step1:

LCM(978, 796) = 389244

GCD(978, 796) = ( 978 x 796 ) / 389244

= 978 / 796

= 978


Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2


So, Greatest Common Divisor of 978, 796, 432 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 978, 796, 432

Given numbers are 978, 796, 432
The greatest common divisor of numbers 978, 796, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 796, 432 is 2.

FAQs on GCD of 978, 796, 432 Calculator

1. What is the GCD of 978, 796, 432?

GCD of given numbers 978, 796, 432 is 2


2. How to calculate the greatest common divisor of 978, 796, 432?

We can find the highest common divisor of 978, 796, 432 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, 796, 432 i.e 2.


3. How can I use the GCD of 978, 796, 432Calculator?

Out the numbers 978, 796, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.