GCD of 204, 646, 332, 134 Calculator

Given Input numbers are 204, 646, 332, 134

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 204, 646, 332, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 646, 332, 134 is 2.

Therefore, GCD of numbers 204, 646, 332, 134 is 2

Given Input Data is 204, 646, 332, 134

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 646 is 2 x 17 x 19

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 134 is 2 x 67

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, 646) = 3876

GCD(204, 646) = ( 204 x 646 ) / 3876

GCD(204, 646) = 131784 / 3876

GCD(204, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 332

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

LCM(34, 332) = 5644

GCD(34, 332) = ( 34 x 332 ) / 5644

GCD(34, 332) = 11288 / 5644

GCD(34, 332) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 204, 646, 332, 134 is 2

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1. What is the GCD of 204, 646, 332, 134?

GCD of 204, 646, 332, 134 is 2

2. Where do I get the detailed procedure to find GCD of 204, 646, 332, 134?

You can find a detailed procedure to find GCD of 204, 646, 332, 134 on our page.

3. How to find GCD of 204, 646, 332, 134 on a calculator?

You can find the GCD of 204, 646, 332, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.