GCD of 621, 180, 216 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 621, 180, 216 i.e. 9 largest integer that divides all the numbers equally.

GCD of 621, 180, 216 is 9

GCD(621, 180, 216) = 9

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

Finding GCD of 621, 180, 216 using Factoring

Given Input numbers are 621, 180, 216

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Greatest Common Divisior

We found the divisors of 621, 180, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 180, 216 is 9.

Therefore, GCD of numbers 621, 180, 216 is 9

Finding GCD of 621, 180, 216 using Prime Factorization

Given Input Data is 621, 180, 216

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 32

Multiplying them we get the GCD as 9

Finding GCD of 621, 180, 216 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(621, 180) = 12420

GCD(621, 180) = ( 621 x 180 ) / 12420

GCD(621, 180) = 111780 / 12420

GCD(621, 180) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 216

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

LCM(9, 216) = 216

GCD(9, 216) = ( 9 x 216 ) / 216

GCD(9, 216) = 1944 / 216

GCD(9, 216) = 9

GCD of 621, 180, 216 is 9

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 621, 180, 216

1. What is the GCD of 621, 180, 216?

GCD of 621, 180, 216 is 9


2. Where do I get the detailed procedure to find GCD of 621, 180, 216?

You can find a detailed procedure to find GCD of 621, 180, 216 on our page.


3. How to find GCD of 621, 180, 216 on a calculator?

You can find the GCD of 621, 180, 216 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 621,180,216 Calculator