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GCD of 500, 392, 978 Calculator

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

Online GCD Calculator is useful to find the GCD of 500, 392, 978 quickly. Get the easiest ways to solve the greatest common divisor of 500, 392, 978 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 392, 978 with Factoring?

Given Input numbers are 500, 392, 978

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 978 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (500, 392, 978) = 2.

Find GCD of 500, 392, 978 using Prime Factorization

Given numbers are 500, 392, 978

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 21

Therefore, GCD of 500, 392, 978 is 2.

Steps to Calculate GCD of 500, 392, 978 using LCM Formula

Given numbers are 500, 392, 978

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

Apply this formula for all numbers.

Step1:

LCM(500, 392) = 49000

GCD(500, 392) = ( 500 x 392 ) / 49000

= 500 / 392

= 500

Step2:

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

= 4 / 978

= 4


So, Greatest Common Divisor of 500, 392, 978 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 392, 978

Given numbers are 500, 392, 978
The greatest common divisor of numbers 500, 392, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 392, 978 is 2.

FAQs on GCD of 500, 392, 978 Calculator

1. What is the GCD of 500, 392, 978?

GCD of given numbers 500, 392, 978 is 2

2. How to calculate the greatest common divisor of 500, 392, 978?

We can find the highest common divisor of 500, 392, 978 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 500, 392, 978 i.e 2.

3. How can I use the GCD of 500, 392, 978Calculator?

Out the numbers 500, 392, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.