GCD of 12, 864, 636, 489 Calculator

Given Input numbers are 12, 864, 636, 489

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

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 12, 864, 636, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 864, 636, 489 is 3.

Therefore, GCD of numbers 12, 864, 636, 489 is 3

Given Input Data is 12, 864, 636, 489

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

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 489 is 3 x 163

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(12, 864) = 864

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

GCD(12, 864) = 10368 / 864

GCD(12, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 636

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

LCM(12, 636) = 636

GCD(12, 636) = ( 12 x 636 ) / 636

GCD(12, 636) = 7632 / 636

GCD(12, 636) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 489

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

LCM(12, 489) = 1956

GCD(12, 489) = ( 12 x 489 ) / 1956

GCD(12, 489) = 5868 / 1956

GCD(12, 489) = 3

GCD of 12, 864, 636, 489 is 3

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• GCD of 66, 510, 456, 544
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• GCD of 67, 399, 465, 799

1. What is the GCD of 12, 864, 636, 489?

GCD of 12, 864, 636, 489 is 3

2. Where do I get the detailed procedure to find GCD of 12, 864, 636, 489?

You can find a detailed procedure to find GCD of 12, 864, 636, 489 on our page.

3. How to find GCD of 12, 864, 636, 489 on a calculator?

You can find the GCD of 12, 864, 636, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.