GCD of 398, 502, 243 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 398, 502, 243 i.e. 1 largest integer that divides all the numbers equally.

GCD of 398, 502, 243 is 1

GCD(398, 502, 243) = 1

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

GCD of

GCD of numbers 398, 502, 243 is 1

GCD(398, 502, 243) = 1

GCD of 398,502,243 Calculator

GCDof 398,502,243 is 1

Given Input numbers are 398, 502, 243

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 398, 502, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 502, 243 is 1.

Therefore, GCD of numbers 398, 502, 243 is 1

Finding GCD of 398, 502, 243 using Prime Factorization

Given Input Data is 398, 502, 243

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 502 is 2 x 251

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

Finding GCD of 398, 502, 243 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(398, 502) = 99898

GCD(398, 502) = ( 398 x 502 ) / 99898

GCD(398, 502) = 199796 / 99898

GCD(398, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 243

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

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

GCD(2, 243) = 486 / 486

GCD(2, 243) = 1

GCD of 398, 502, 243 is 1

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FAQs on GCD of numbers 398, 502, 243

1. What is the GCD of 398, 502, 243?

GCD of 398, 502, 243 is 1

2. Where do I get the detailed procedure to find GCD of 398, 502, 243?

You can find a detailed procedure to find GCD of 398, 502, 243 on our page.

3. How to find GCD of 398, 502, 243 on a calculator?

You can find the GCD of 398, 502, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.