Where do I get the detailed procedure to find GCD of 132, 624, 198?

You can find a detailed procedure to find GCD of 132, 624, 198 on our page.

How to find GCD of 132, 624, 198 on a calculator?

You can find the GCD of 132, 624, 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 132, 624, 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 132, 624, 198 quickly. Get the easiest ways to solve the greatest common divisor of 132, 624, 198 i.e 6 in different methods as follows.

How to Find GCD of Numbers 132, 624, 198 with Factoring?

Given Input numbers are 132, 624, 198

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 (132, 624, 198) = 6.

Find GCD of 132, 624, 198 using Prime Factorization

Given numbers are 132, 624, 198

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 132, 624, 198 is 6.

Steps to Calculate GCD of 132, 624, 198 using LCM Formula

Given numbers are 132, 624, 198

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

Apply this formula for all numbers.

Step1:

LCM(132, 624) = 6864

GCD(132, 624) = ( 132 x 624 ) / 6864

= 132 / 624

= 132

Step2:

LCM(12, 198) = 396

GCD(12, 198) = ( 12 x 198 ) / 396

= 12 / 198

= 12

So, Greatest Common Divisor of 132, 624, 198 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 132, 624, 198

Given numbers are 132, 624, 198
The greatest common divisor of numbers 132, 624, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 624, 198 is 6.

FAQs on GCD of 132, 624, 198 Calculator

1. What is the GCD of 132, 624, 198?

GCD of given numbers 132, 624, 198 is 6

2. How to calculate the greatest common divisor of 132, 624, 198?

We can find the highest common divisor of 132, 624, 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 132, 624, 198 i.e 6.

3. How can I use the GCD of 132, 624, 198Calculator?

Out the numbers 132, 624, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.