GCD of 618, 978, 904 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 618, 978, 904 i.e. 2 largest integer that divides all the numbers equally.

GCD of 618, 978, 904 is 2

GCD(618, 978, 904) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 618, 978, 904 is 2

GCD(618, 978, 904) = 2

GCD of 618,978,904 Calculator

GCDof 618,978,904 is 2

Given Input numbers are 618, 978, 904

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 618, 978, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 978, 904 is 2.

Therefore, GCD of numbers 618, 978, 904 is 2

Finding GCD of 618, 978, 904 using Prime Factorization

Given Input Data is 618, 978, 904

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 904 is 2 x 2 x 2 x 113

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 618, 978, 904 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(618, 978) = 100734

GCD(618, 978) = ( 618 x 978 ) / 100734

GCD(618, 978) = 604404 / 100734

GCD(618, 978) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 904

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

LCM(6, 904) = 2712

GCD(6, 904) = ( 6 x 904 ) / 2712

GCD(6, 904) = 5424 / 2712

GCD(6, 904) = 2

GCD of 618, 978, 904 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 618, 978, 904

1. What is the GCD of 618, 978, 904?

GCD of 618, 978, 904 is 2


2. Where do I get the detailed procedure to find GCD of 618, 978, 904?

You can find a detailed procedure to find GCD of 618, 978, 904 on our page.


3. How to find GCD of 618, 978, 904 on a calculator?

You can find the GCD of 618, 978, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.