Where do I get the detailed procedure to find GCD of 198, 189, 480?

You can find a detailed procedure to find GCD of 198, 189, 480 on our page.

How to find GCD of 198, 189, 480 on a calculator?

You can find the GCD of 198, 189, 480 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 198, 189, 480 Calculator

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

Online GCD Calculator is useful to find the GCD of 198, 189, 480 quickly. Get the easiest ways to solve the greatest common divisor of 198, 189, 480 i.e 3 in different methods as follows.

How to Find GCD of Numbers 198, 189, 480 with Factoring?

Given Input numbers are 198, 189, 480

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

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (198, 189, 480) = 3.

Find GCD of 198, 189, 480 using Prime Factorization

Given numbers are 198, 189, 480

The list of prime factors of all numbers are

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

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 198, 189, 480 is 3.

Steps to Calculate GCD of 198, 189, 480 using LCM Formula

Given numbers are 198, 189, 480

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

Apply this formula for all numbers.

Step1:

LCM(198, 189) = 4158

GCD(198, 189) = ( 198 x 189 ) / 4158

= 198 / 189

= 198

Step2:

LCM(9, 480) = 1440

GCD(9, 480) = ( 9 x 480 ) / 1440

= 9 / 480

= 9

So, Greatest Common Divisor of 198, 189, 480 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 198, 189, 480

Given numbers are 198, 189, 480
The greatest common divisor of numbers 198, 189, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 189, 480 is 3.

FAQs on GCD of 198, 189, 480 Calculator

1. What is the GCD of 198, 189, 480?

GCD of given numbers 198, 189, 480 is 3

2. How to calculate the greatest common divisor of 198, 189, 480?

We can find the highest common divisor of 198, 189, 480 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 198, 189, 480 i.e 3.

3. How can I use the GCD of 198, 189, 480Calculator?

Out the numbers 198, 189, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.