GCD of 324, 864, 561 Calculator

Given Input numbers are 324, 864, 561

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 324, 864, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 864, 561 is 3.

Therefore, GCD of numbers 324, 864, 561 is 3

Given Input Data is 324, 864, 561

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 561 is 3 x 11 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 864) = 2592

GCD(324, 864) = ( 324 x 864 ) / 2592

GCD(324, 864) = 279936 / 2592

GCD(324, 864) = 108

Step2:

Here we consider the GCD from the above i.e. 108 as first number and the next as 561

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

LCM(108, 561) = 20196

GCD(108, 561) = ( 108 x 561 ) / 20196

GCD(108, 561) = 60588 / 20196

GCD(108, 561) = 3

GCD of 324, 864, 561 is 3

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1. What is the GCD of 324, 864, 561?

GCD of 324, 864, 561 is 3

2. Where do I get the detailed procedure to find GCD of 324, 864, 561?

You can find a detailed procedure to find GCD of 324, 864, 561 on our page.

3. How to find GCD of 324, 864, 561 on a calculator?

You can find the GCD of 324, 864, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.