Where do I get the detailed procedure to find GCD of 432, 642, 198?

You can find a detailed procedure to find GCD of 432, 642, 198 on our page.

How to find GCD of 432, 642, 198 on a calculator?

You can find the GCD of 432, 642, 198 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 432, 642, 198 Calculator

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

Online GCD Calculator is useful to find the GCD of 432, 642, 198 quickly. Get the easiest ways to solve the greatest common divisor of 432, 642, 198 i.e 6 in different methods as follows.

How to Find GCD of Numbers 432, 642, 198 with Factoring?

Given Input numbers are 432, 642, 198

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (432, 642, 198) = 6.

Find GCD of 432, 642, 198 using Prime Factorization

Given numbers are 432, 642, 198

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 642 are 2 x 3 x 107

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 432, 642, 198 is 6.

Steps to Calculate GCD of 432, 642, 198 using LCM Formula

Given numbers are 432, 642, 198

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

Apply this formula for all numbers.

Step1:

LCM(432, 642) = 46224

GCD(432, 642) = ( 432 x 642 ) / 46224

= 432 / 642

= 432

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

So, Greatest Common Divisor of 432, 642, 198 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 432, 642, 198

Given numbers are 432, 642, 198
The greatest common divisor of numbers 432, 642, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 642, 198 is 6.

FAQs on GCD of 432, 642, 198 Calculator

1. What is the GCD of 432, 642, 198?

GCD of given numbers 432, 642, 198 is 6

2. How to calculate the greatest common divisor of 432, 642, 198?

We can find the highest common divisor of 432, 642, 198 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 432, 642, 198 i.e 6.

3. How can I use the GCD of 432, 642, 198Calculator?

Out the numbers 432, 642, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.