GCD of 242, 464, 43, 399 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 242, 464, 43, 399 i.e. 1 largest integer that divides all the numbers equally.

GCD of 242, 464, 43, 399 is 1

GCD(242, 464, 43, 399) = 1

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

GCD of

GCD of numbers 242, 464, 43, 399 is 1

GCD(242, 464, 43, 399) = 1

GCD of 242,464,43,399 Calculator

GCDof 242,464,43,399 is 1

Given Input numbers are 242, 464, 43, 399

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

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 242, 464, 43, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 464, 43, 399 is 1.

Therefore, GCD of numbers 242, 464, 43, 399 is 1

Finding GCD of 242, 464, 43, 399 using Prime Factorization

Given Input Data is 242, 464, 43, 399

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

Prime Factorization of 242 is 2 x 11 x 11

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

Prime Factorization of 43 is 43

Prime Factorization of 399 is 3 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 242, 464, 43, 399 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(242, 464) = 56144

GCD(242, 464) = ( 242 x 464 ) / 56144

GCD(242, 464) = 112288 / 56144

GCD(242, 464) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 242, 464, 43, 399 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 242, 464, 43, 399

1. What is the GCD of 242, 464, 43, 399?

GCD of 242, 464, 43, 399 is 1


2. Where do I get the detailed procedure to find GCD of 242, 464, 43, 399?

You can find a detailed procedure to find GCD of 242, 464, 43, 399 on our page.


3. How to find GCD of 242, 464, 43, 399 on a calculator?

You can find the GCD of 242, 464, 43, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.