GCD of 638, 994, 25, 619 Calculator

Given Input numbers are 638, 994, 25, 619

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 638, 994, 25, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 994, 25, 619 is 1.

Therefore, GCD of numbers 638, 994, 25, 619 is 1

Given Input Data is 638, 994, 25, 619

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 994 is 2 x 7 x 71

Prime Factorization of 25 is 5 x 5

Prime Factorization of 619 is 619

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, 994) = 317086

GCD(638, 994) = ( 638 x 994 ) / 317086

GCD(638, 994) = 634172 / 317086

GCD(638, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 619

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

LCM(1, 619) = 619

GCD(1, 619) = ( 1 x 619 ) / 619

GCD(1, 619) = 619 / 619

GCD(1, 619) = 1

GCD of 638, 994, 25, 619 is 1

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1. What is the GCD of 638, 994, 25, 619?

GCD of 638, 994, 25, 619 is 1

2. Where do I get the detailed procedure to find GCD of 638, 994, 25, 619?

You can find a detailed procedure to find GCD of 638, 994, 25, 619 on our page.

3. How to find GCD of 638, 994, 25, 619 on a calculator?

You can find the GCD of 638, 994, 25, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.