GCD of 243, 996, 423 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 243, 996, 423 i.e. 3 largest integer that divides all the numbers equally.

GCD of 243, 996, 423 is 3

GCD(243, 996, 423) = 3

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

GCD of

GCD of numbers 243, 996, 423 is 3

GCD(243, 996, 423) = 3

GCD of 243,996,423 Calculator

GCDof 243,996,423 is 3

Given Input numbers are 243, 996, 423

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

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 243, 996, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 996, 423 is 3.

Therefore, GCD of numbers 243, 996, 423 is 3

Finding GCD of 243, 996, 423 using Prime Factorization

Given Input Data is 243, 996, 423

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

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 423 is 3 x 3 x 47

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 243, 996, 423 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(243, 996) = 80676

GCD(243, 996) = ( 243 x 996 ) / 80676

GCD(243, 996) = 242028 / 80676

GCD(243, 996) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

GCD of 243, 996, 423 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 243, 996, 423

1. What is the GCD of 243, 996, 423?

GCD of 243, 996, 423 is 3


2. Where do I get the detailed procedure to find GCD of 243, 996, 423?

You can find a detailed procedure to find GCD of 243, 996, 423 on our page.


3. How to find GCD of 243, 996, 423 on a calculator?

You can find the GCD of 243, 996, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.