GCD of 442, 210, 24, 204 Calculator

Given Input numbers are 442, 210, 24, 204

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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

Greatest Common Divisior

We found the divisors of 442, 210, 24, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 210, 24, 204 is 2.

Therefore, GCD of numbers 442, 210, 24, 204 is 2

Given Input Data is 442, 210, 24, 204

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 204 is 2 x 2 x 3 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(442, 210) = 46410

GCD(442, 210) = ( 442 x 210 ) / 46410

GCD(442, 210) = 92820 / 46410

GCD(442, 210) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

GCD of 442, 210, 24, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 340, 73, 146
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• GCD of 730, 553, 71, 202

1. What is the GCD of 442, 210, 24, 204?

GCD of 442, 210, 24, 204 is 2

2. Where do I get the detailed procedure to find GCD of 442, 210, 24, 204?

You can find a detailed procedure to find GCD of 442, 210, 24, 204 on our page.

3. How to find GCD of 442, 210, 24, 204 on a calculator?

You can find the GCD of 442, 210, 24, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.