GCD of 422, 216, 441, 638 Calculator

Given Input numbers are 422, 216, 441, 638

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 422, 216, 441, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 216, 441, 638 is 1.

Therefore, GCD of numbers 422, 216, 441, 638 is 1

Given Input Data is 422, 216, 441, 638

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 638 is 2 x 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(422, 216) = 45576

GCD(422, 216) = ( 422 x 216 ) / 45576

GCD(422, 216) = 91152 / 45576

GCD(422, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 422, 216, 441, 638 is 1

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• GCD of 734, 180, 738, 527
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• GCD of 996, 504, 451, 435

1. What is the GCD of 422, 216, 441, 638?

GCD of 422, 216, 441, 638 is 1

2. Where do I get the detailed procedure to find GCD of 422, 216, 441, 638?

You can find a detailed procedure to find GCD of 422, 216, 441, 638 on our page.

3. How to find GCD of 422, 216, 441, 638 on a calculator?

You can find the GCD of 422, 216, 441, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.