GCD of 342, 204, 68, 906 Calculator

Given Input numbers are 342, 204, 68, 906

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

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 342, 204, 68, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 204, 68, 906 is 2.

Therefore, GCD of numbers 342, 204, 68, 906 is 2

Given Input Data is 342, 204, 68, 906

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

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 68 is 2 x 2 x 17

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(342, 204) = 11628

GCD(342, 204) = ( 342 x 204 ) / 11628

GCD(342, 204) = 69768 / 11628

GCD(342, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 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 342, 204, 68, 906 is 2

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1. What is the GCD of 342, 204, 68, 906?

GCD of 342, 204, 68, 906 is 2

2. Where do I get the detailed procedure to find GCD of 342, 204, 68, 906?

You can find a detailed procedure to find GCD of 342, 204, 68, 906 on our page.

3. How to find GCD of 342, 204, 68, 906 on a calculator?

You can find the GCD of 342, 204, 68, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.