GCD of 12, 664, 342, 906 Calculator

Given Input numbers are 12, 664, 342, 906

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 12, 664, 342, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 664, 342, 906 is 2.

Therefore, GCD of numbers 12, 664, 342, 906 is 2

Given Input Data is 12, 664, 342, 906

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 906 is 2 x 3 x 151

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, 664) = 1992

GCD(12, 664) = ( 12 x 664 ) / 1992

GCD(12, 664) = 7968 / 1992

GCD(12, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 342

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

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

GCD(4, 342) = 1368 / 684

GCD(4, 342) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 12, 664, 342, 906 is 2

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1. What is the GCD of 12, 664, 342, 906?

GCD of 12, 664, 342, 906 is 2

2. Where do I get the detailed procedure to find GCD of 12, 664, 342, 906?

You can find a detailed procedure to find GCD of 12, 664, 342, 906 on our page.

3. How to find GCD of 12, 664, 342, 906 on a calculator?

You can find the GCD of 12, 664, 342, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.