GCD of 864, 771, 12, 168 Calculator

Given Input numbers are 864, 771, 12, 168

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

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 864, 771, 12, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 771, 12, 168 is 3.

Therefore, GCD of numbers 864, 771, 12, 168 is 3

Given Input Data is 864, 771, 12, 168

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 771 is 3 x 257

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(864, 771) = 222048

GCD(864, 771) = ( 864 x 771 ) / 222048

GCD(864, 771) = 666144 / 222048

GCD(864, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 168

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

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

GCD(3, 168) = 504 / 168

GCD(3, 168) = 3

GCD of 864, 771, 12, 168 is 3

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1. What is the GCD of 864, 771, 12, 168?

GCD of 864, 771, 12, 168 is 3

2. Where do I get the detailed procedure to find GCD of 864, 771, 12, 168?

You can find a detailed procedure to find GCD of 864, 771, 12, 168 on our page.

3. How to find GCD of 864, 771, 12, 168 on a calculator?

You can find the GCD of 864, 771, 12, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.