Where do I get the detailed procedure to find GCD of 996, 144, 423?

You can find a detailed procedure to find GCD of 996, 144, 423 on our page.

How to find GCD of 996, 144, 423 on a calculator?

You can find the GCD of 996, 144, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 996, 144, 423 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 996, 144, 423 quickly. Get the easiest ways to solve the greatest common divisor of 996, 144, 423 i.e 3 in different methods as follows.

How to Find GCD of Numbers 996, 144, 423 with Factoring?

Given Input numbers are 996, 144, 423

In the factoring method, we have to find the divisors of all numbers

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (996, 144, 423) = 3.

Find GCD of 996, 144, 423 using Prime Factorization

Given numbers are 996, 144, 423

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 996, 144, 423 is 3.

Steps to Calculate GCD of 996, 144, 423 using LCM Formula

Given numbers are 996, 144, 423

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(996, 144) = 11952

GCD(996, 144) = ( 996 x 144 ) / 11952

= 996 / 144

= 996

Step2:

LCM(12, 423) = 1692

GCD(12, 423) = ( 12 x 423 ) / 1692

= 12 / 423

= 12

So, Greatest Common Divisor of 996, 144, 423 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 996, 144, 423

Given numbers are 996, 144, 423
The greatest common divisor of numbers 996, 144, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 144, 423 is 3.

FAQs on GCD of 996, 144, 423 Calculator

1. What is the GCD of 996, 144, 423?

GCD of given numbers 996, 144, 423 is 3

2. How to calculate the greatest common divisor of 996, 144, 423?

We can find the highest common divisor of 996, 144, 423 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 996, 144, 423 i.e 3.

3. How can I use the GCD of 996, 144, 423Calculator?

Out the numbers 996, 144, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.