GCD of 540, 204, 12 Calculator

Given Input numbers are 540, 204, 12

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 540, 204, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 204, 12 is 12.

Therefore, GCD of numbers 540, 204, 12 is 12

Given Input Data is 540, 204, 12

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 12 is 2 x 2 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(540, 204) = 9180

GCD(540, 204) = ( 540 x 204 ) / 9180

GCD(540, 204) = 110160 / 9180

GCD(540, 204) = 12

Step2:

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

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

LCM(12, 12) = 12

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

GCD(12, 12) = 144 / 12

GCD(12, 12) = 12

GCD of 540, 204, 12 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 424, 83
• GCD of 292, 187, 90
• GCD of 379, 325, 33
• GCD of 307, 582, 62
• GCD of 313, 603, 30

1. What is the GCD of 540, 204, 12?

GCD of 540, 204, 12 is 12

2. Where do I get the detailed procedure to find GCD of 540, 204, 12?

You can find a detailed procedure to find GCD of 540, 204, 12 on our page.

3. How to find GCD of 540, 204, 12 on a calculator?

You can find the GCD of 540, 204, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.