Where do I get the detailed procedure to find GCD of 423, 384, 243?

You can find a detailed procedure to find GCD of 423, 384, 243 on our page.

How to find GCD of 423, 384, 243 on a calculator?

You can find the GCD of 423, 384, 243 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 423, 384, 243 Calculator

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

Online GCD Calculator is useful to find the GCD of 423, 384, 243 quickly. Get the easiest ways to solve the greatest common divisor of 423, 384, 243 i.e 3 in different methods as follows.

How to Find GCD of Numbers 423, 384, 243 with Factoring?

Given Input numbers are 423, 384, 243

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

Divisors of 423 :

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

1, 3, 9, 47, 141, 423

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (423, 384, 243) = 3.

Find GCD of 423, 384, 243 using Prime Factorization

Given numbers are 423, 384, 243

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 423, 384, 243 is 3.

Steps to Calculate GCD of 423, 384, 243 using LCM Formula

Given numbers are 423, 384, 243

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

Apply this formula for all numbers.

Step1:

LCM(423, 384) = 54144

GCD(423, 384) = ( 423 x 384 ) / 54144

= 423 / 384

= 423

Step2:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

So, Greatest Common Divisor of 423, 384, 243 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 423, 384, 243

Given numbers are 423, 384, 243
The greatest common divisor of numbers 423, 384, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 384, 243 is 3.

FAQs on GCD of 423, 384, 243 Calculator

1. What is the GCD of 423, 384, 243?

GCD of given numbers 423, 384, 243 is 3

2. How to calculate the greatest common divisor of 423, 384, 243?

We can find the highest common divisor of 423, 384, 243 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 423, 384, 243 i.e 3.

3. How can I use the GCD of 423, 384, 243Calculator?

Out the numbers 423, 384, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.