GCD of 204, 474, 42, 656 Calculator

Given Input numbers are 204, 474, 42, 656

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

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 204, 474, 42, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 474, 42, 656 is 2.

Therefore, GCD of numbers 204, 474, 42, 656 is 2

Given Input Data is 204, 474, 42, 656

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

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(204, 474) = 16116

GCD(204, 474) = ( 204 x 474 ) / 16116

GCD(204, 474) = 96696 / 16116

GCD(204, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 42

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

LCM(6, 42) = 42

GCD(6, 42) = ( 6 x 42 ) / 42

GCD(6, 42) = 252 / 42

GCD(6, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 656

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

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

GCD(6, 656) = 3936 / 1968

GCD(6, 656) = 2

GCD of 204, 474, 42, 656 is 2

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1. What is the GCD of 204, 474, 42, 656?

GCD of 204, 474, 42, 656 is 2

2. Where do I get the detailed procedure to find GCD of 204, 474, 42, 656?

You can find a detailed procedure to find GCD of 204, 474, 42, 656 on our page.

3. How to find GCD of 204, 474, 42, 656 on a calculator?

You can find the GCD of 204, 474, 42, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.