GCD of 638, 382, 16, 255 Calculator

Given Input numbers are 638, 382, 16, 255

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

Divisors of 638

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

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 638, 382, 16, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 382, 16, 255 is 1.

Therefore, GCD of numbers 638, 382, 16, 255 is 1

Given Input Data is 638, 382, 16, 255

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 382 is 2 x 191

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 255 is 3 x 5 x 17

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(638, 382) = 121858

GCD(638, 382) = ( 638 x 382 ) / 121858

GCD(638, 382) = 243716 / 121858

GCD(638, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 638, 382, 16, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 583, 44, 816
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• GCD of 387, 566, 49, 908

1. What is the GCD of 638, 382, 16, 255?

GCD of 638, 382, 16, 255 is 1

2. Where do I get the detailed procedure to find GCD of 638, 382, 16, 255?

You can find a detailed procedure to find GCD of 638, 382, 16, 255 on our page.

3. How to find GCD of 638, 382, 16, 255 on a calculator?

You can find the GCD of 638, 382, 16, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.