GCD of 12, 668, 406, 578 Calculator

Given Input numbers are 12, 668, 406, 578

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 12, 668, 406, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 668, 406, 578 is 2.

Therefore, GCD of numbers 12, 668, 406, 578 is 2

Given Input Data is 12, 668, 406, 578

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 406 is 2 x 7 x 29

Prime Factorization of 578 is 2 x 17 x 17

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 406

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

LCM(4, 406) = 812

GCD(4, 406) = ( 4 x 406 ) / 812

GCD(4, 406) = 1624 / 812

GCD(4, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 12, 668, 406, 578 is 2

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1. What is the GCD of 12, 668, 406, 578?

GCD of 12, 668, 406, 578 is 2

2. Where do I get the detailed procedure to find GCD of 12, 668, 406, 578?

You can find a detailed procedure to find GCD of 12, 668, 406, 578 on our page.

3. How to find GCD of 12, 668, 406, 578 on a calculator?

You can find the GCD of 12, 668, 406, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.