GCD of 684, 372, 864 Calculator

Given Input numbers are 684, 372, 864

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 684, 372, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 372, 864 is 12.

Therefore, GCD of numbers 684, 372, 864 is 12

Given Input Data is 684, 372, 864

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(684, 372) = 21204

GCD(684, 372) = ( 684 x 372 ) / 21204

GCD(684, 372) = 254448 / 21204

GCD(684, 372) = 12

Step2:

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 684, 372, 864 is 12

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1. What is the GCD of 684, 372, 864?

GCD of 684, 372, 864 is 12

2. Where do I get the detailed procedure to find GCD of 684, 372, 864?

You can find a detailed procedure to find GCD of 684, 372, 864 on our page.

3. How to find GCD of 684, 372, 864 on a calculator?

You can find the GCD of 684, 372, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.