GCD of 108, 384, 12, 864 Calculator

Given Input numbers are 108, 384, 12, 864

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 12

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

1, 2, 3, 4, 6, 12

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

Greatest Common Divisior

We found the divisors of 108, 384, 12, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 384, 12, 864 is 12.

Therefore, GCD of numbers 108, 384, 12, 864 is 12

Given Input Data is 108, 384, 12, 864

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 864 is 2 x 2 x 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(108, 384) = 3456

GCD(108, 384) = ( 108 x 384 ) / 3456

GCD(108, 384) = 41472 / 3456

GCD(108, 384) = 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

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 864

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

LCM(12, 864) = 864

GCD(12, 864) = ( 12 x 864 ) / 864

GCD(12, 864) = 10368 / 864

GCD(12, 864) = 12

GCD of 108, 384, 12, 864 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 675, 39, 452
• GCD of 259, 849, 38, 180
• GCD of 267, 313, 78, 753
• GCD of 146, 528, 75, 238
• GCD of 669, 388, 78, 603

1. What is the GCD of 108, 384, 12, 864?

GCD of 108, 384, 12, 864 is 12

2. Where do I get the detailed procedure to find GCD of 108, 384, 12, 864?

You can find a detailed procedure to find GCD of 108, 384, 12, 864 on our page.

3. How to find GCD of 108, 384, 12, 864 on a calculator?

You can find the GCD of 108, 384, 12, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.