GCD of 423, 639, 993 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 423, 639, 993 i.e. 3 largest integer that divides all the numbers equally.

GCD of 423, 639, 993 is 3

GCD(423, 639, 993) = 3

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

GCD of

GCD of numbers 423, 639, 993 is 3

GCD(423, 639, 993) = 3

GCD of 423,639,993 Calculator

GCDof 423,639,993 is 3

Given Input numbers are 423, 639, 993

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

Divisors of 423

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

1, 3, 9, 47, 141, 423

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 423, 639, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 639, 993 is 3.

Therefore, GCD of numbers 423, 639, 993 is 3

Finding GCD of 423, 639, 993 using Prime Factorization

Given Input Data is 423, 639, 993

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 993 is 3 x 331

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 423, 639, 993 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(423, 639) = 30033

GCD(423, 639) = ( 423 x 639 ) / 30033

GCD(423, 639) = 270297 / 30033

GCD(423, 639) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 993

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

LCM(9, 993) = 2979

GCD(9, 993) = ( 9 x 993 ) / 2979

GCD(9, 993) = 8937 / 2979

GCD(9, 993) = 3

GCD of 423, 639, 993 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 423, 639, 993

1. What is the GCD of 423, 639, 993?

GCD of 423, 639, 993 is 3

2. Where do I get the detailed procedure to find GCD of 423, 639, 993?

You can find a detailed procedure to find GCD of 423, 639, 993 on our page.

3. How to find GCD of 423, 639, 993 on a calculator?

You can find the GCD of 423, 639, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.