GCD of 638, 303, 50, 742 Calculator

Given Input numbers are 638, 303, 50, 742

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 638, 303, 50, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 303, 50, 742 is 1.

Therefore, GCD of numbers 638, 303, 50, 742 is 1

Given Input Data is 638, 303, 50, 742

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 303 is 3 x 101

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 742 is 2 x 7 x 53

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, 303) = 193314

GCD(638, 303) = ( 638 x 303 ) / 193314

GCD(638, 303) = 193314 / 193314

GCD(638, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 638, 303, 50, 742 is 1

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1. What is the GCD of 638, 303, 50, 742?

GCD of 638, 303, 50, 742 is 1

2. Where do I get the detailed procedure to find GCD of 638, 303, 50, 742?

You can find a detailed procedure to find GCD of 638, 303, 50, 742 on our page.

3. How to find GCD of 638, 303, 50, 742 on a calculator?

You can find the GCD of 638, 303, 50, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.