GCD of 442, 604, 918 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 442, 604, 918 i.e. 2 largest integer that divides all the numbers equally.

GCD of 442, 604, 918 is 2

GCD(442, 604, 918) = 2

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

GCD of

GCD of numbers 442, 604, 918 is 2

GCD(442, 604, 918) = 2

GCD of 442,604,918 Calculator

GCDof 442,604,918 is 2

Given Input numbers are 442, 604, 918

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 442, 604, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 604, 918 is 2.

Therefore, GCD of numbers 442, 604, 918 is 2

Finding GCD of 442, 604, 918 using Prime Factorization

Given Input Data is 442, 604, 918

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 442, 604, 918 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(442, 604) = 133484

GCD(442, 604) = ( 442 x 604 ) / 133484

GCD(442, 604) = 266968 / 133484

GCD(442, 604) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 442, 604, 918 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 442, 604, 918

1. What is the GCD of 442, 604, 918?

GCD of 442, 604, 918 is 2


2. Where do I get the detailed procedure to find GCD of 442, 604, 918?

You can find a detailed procedure to find GCD of 442, 604, 918 on our page.


3. How to find GCD of 442, 604, 918 on a calculator?

You can find the GCD of 442, 604, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.