GCD of 986, 668, 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 986, 668, 904 i.e. 2 largest integer that divides all the numbers equally.

GCD of 986, 668, 904 is 2

GCD(986, 668, 904) = 2

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

GCD of

GCD of numbers 986, 668, 904 is 2

GCD(986, 668, 904) = 2

GCD of 986,668,904 Calculator

GCDof 986,668,904 is 2

Given Input numbers are 986, 668, 904

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 986, 668, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 668, 904 is 2.

Therefore, GCD of numbers 986, 668, 904 is 2

Finding GCD of 986, 668, 904 using Prime Factorization

Given Input Data is 986, 668, 904

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 668 is 2 x 2 x 167

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 986, 668, 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(986, 668) = 329324

GCD(986, 668) = ( 986 x 668 ) / 329324

GCD(986, 668) = 658648 / 329324

GCD(986, 668) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 986, 668, 904 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 986, 668, 904

1. What is the GCD of 986, 668, 904?

GCD of 986, 668, 904 is 2


2. Where do I get the detailed procedure to find GCD of 986, 668, 904?

You can find a detailed procedure to find GCD of 986, 668, 904 on our page.


3. How to find GCD of 986, 668, 904 on a calculator?

You can find the GCD of 986, 668, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.