GCD of 432, 944, 996 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 432, 944, 996 i.e. 4 largest integer that divides all the numbers equally.

GCD of 432, 944, 996 is 4

GCD(432, 944, 996) = 4

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

GCD of

GCD of numbers 432, 944, 996 is 4

GCD(432, 944, 996) = 4

GCD of 432,944,996 Calculator

GCDof 432,944,996 is 4

Given Input numbers are 432, 944, 996

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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

Greatest Common Divisior

We found the divisors of 432, 944, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 944, 996 is 4.

Therefore, GCD of numbers 432, 944, 996 is 4

Finding GCD of 432, 944, 996 using Prime Factorization

Given Input Data is 432, 944, 996

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 432, 944, 996 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(432, 944) = 25488

GCD(432, 944) = ( 432 x 944 ) / 25488

GCD(432, 944) = 407808 / 25488

GCD(432, 944) = 16


Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 996

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

LCM(16, 996) = 3984

GCD(16, 996) = ( 16 x 996 ) / 3984

GCD(16, 996) = 15936 / 3984

GCD(16, 996) = 4

GCD of 432, 944, 996 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 432, 944, 996

1. What is the GCD of 432, 944, 996?

GCD of 432, 944, 996 is 4


2. Where do I get the detailed procedure to find GCD of 432, 944, 996?

You can find a detailed procedure to find GCD of 432, 944, 996 on our page.


3. How to find GCD of 432, 944, 996 on a calculator?

You can find the GCD of 432, 944, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.