GCD of 666, 168, 12, 864 Calculator

Given Input numbers are 666, 168, 12, 864

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

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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

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 666, 168, 12, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 168, 12, 864 is 6.

Therefore, GCD of numbers 666, 168, 12, 864 is 6

Given Input Data is 666, 168, 12, 864

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

Prime Factorization of 666 is 2 x 3 x 3 x 37

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

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 2¹ x 3¹

Multiplying them we get the GCD as 6

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(666, 168) = 18648

GCD(666, 168) = ( 666 x 168 ) / 18648

GCD(666, 168) = 111888 / 18648

GCD(666, 168) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 12

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

LCM(6, 12) = 12

GCD(6, 12) = ( 6 x 12 ) / 12

GCD(6, 12) = 72 / 12

GCD(6, 12) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 864

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

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

GCD(6, 864) = 5184 / 864

GCD(6, 864) = 6

GCD of 666, 168, 12, 864 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 423, 93, 840
• GCD of 100, 312, 32, 361
• GCD of 888, 527, 61, 553
• GCD of 994, 703, 77, 619
• GCD of 496, 575, 90, 714

1. What is the GCD of 666, 168, 12, 864?

GCD of 666, 168, 12, 864 is 6

2. Where do I get the detailed procedure to find GCD of 666, 168, 12, 864?

You can find a detailed procedure to find GCD of 666, 168, 12, 864 on our page.

3. How to find GCD of 666, 168, 12, 864 on a calculator?

You can find the GCD of 666, 168, 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.