GCD of 381, 694, 75, 638 Calculator

Given Input numbers are 381, 694, 75, 638

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 381, 694, 75, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 694, 75, 638 is 1.

Therefore, GCD of numbers 381, 694, 75, 638 is 1

Given Input Data is 381, 694, 75, 638

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 694 is 2 x 347

Prime Factorization of 75 is 3 x 5 x 5

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(381, 694) = 264414

GCD(381, 694) = ( 381 x 694 ) / 264414

GCD(381, 694) = 264414 / 264414

GCD(381, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 381, 694, 75, 638 is 1

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1. What is the GCD of 381, 694, 75, 638?

GCD of 381, 694, 75, 638 is 1

2. Where do I get the detailed procedure to find GCD of 381, 694, 75, 638?

You can find a detailed procedure to find GCD of 381, 694, 75, 638 on our page.

3. How to find GCD of 381, 694, 75, 638 on a calculator?

You can find the GCD of 381, 694, 75, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.