GCD of 324, 816, 216 Calculator

Given Input numbers are 324, 816, 216

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 324, 816, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 816, 216 is 12.

Therefore, GCD of numbers 324, 816, 216 is 12

Given Input Data is 324, 816, 216

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(324, 816) = 22032

GCD(324, 816) = ( 324 x 816 ) / 22032

GCD(324, 816) = 264384 / 22032

GCD(324, 816) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 216

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

LCM(12, 216) = 216

GCD(12, 216) = ( 12 x 216 ) / 216

GCD(12, 216) = 2592 / 216

GCD(12, 216) = 12

GCD of 324, 816, 216 is 12

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1. What is the GCD of 324, 816, 216?

GCD of 324, 816, 216 is 12

2. Where do I get the detailed procedure to find GCD of 324, 816, 216?

You can find a detailed procedure to find GCD of 324, 816, 216 on our page.

3. How to find GCD of 324, 816, 216 on a calculator?

You can find the GCD of 324, 816, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.