GCD of 468, 242, 464 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 468, 242, 464 i.e. 2 largest integer that divides all the numbers equally.

GCD of 468, 242, 464 is 2

GCD(468, 242, 464) = 2

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

GCD of

GCD of numbers 468, 242, 464 is 2

GCD(468, 242, 464) = 2

GCD of 468,242,464 Calculator

GCDof 468,242,464 is 2

Given Input numbers are 468, 242, 464

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 468, 242, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 242, 464 is 2.

Therefore, GCD of numbers 468, 242, 464 is 2

Finding GCD of 468, 242, 464 using Prime Factorization

Given Input Data is 468, 242, 464

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 468, 242, 464 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(468, 242) = 56628

GCD(468, 242) = ( 468 x 242 ) / 56628

GCD(468, 242) = 113256 / 56628

GCD(468, 242) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 468, 242, 464 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 468, 242, 464

1. What is the GCD of 468, 242, 464?

GCD of 468, 242, 464 is 2


2. Where do I get the detailed procedure to find GCD of 468, 242, 464?

You can find a detailed procedure to find GCD of 468, 242, 464 on our page.


3. How to find GCD of 468, 242, 464 on a calculator?

You can find the GCD of 468, 242, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.