GCD of 12, 668, 676, 378 Calculator

Given Input numbers are 12, 668, 676, 378

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 12, 668, 676, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 668, 676, 378 is 2.

Therefore, GCD of numbers 12, 668, 676, 378 is 2

Given Input Data is 12, 668, 676, 378

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 668 is 2 x 2 x 167

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 668) = 2004

GCD(12, 668) = ( 12 x 668 ) / 2004

GCD(12, 668) = 8016 / 2004

GCD(12, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 676

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

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

GCD(4, 676) = 2704 / 676

GCD(4, 676) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 378

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

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

GCD(4, 378) = 1512 / 756

GCD(4, 378) = 2

GCD of 12, 668, 676, 378 is 2

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1. What is the GCD of 12, 668, 676, 378?

GCD of 12, 668, 676, 378 is 2

2. Where do I get the detailed procedure to find GCD of 12, 668, 676, 378?

You can find a detailed procedure to find GCD of 12, 668, 676, 378 on our page.

3. How to find GCD of 12, 668, 676, 378 on a calculator?

You can find the GCD of 12, 668, 676, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.