GCD of 404, 489, 741, 638 Calculator

Given Input numbers are 404, 489, 741, 638

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 404, 489, 741, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 489, 741, 638 is 1.

Therefore, GCD of numbers 404, 489, 741, 638 is 1

Given Input Data is 404, 489, 741, 638

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 489 is 3 x 163

Prime Factorization of 741 is 3 x 13 x 19

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(404, 489) = 197556

GCD(404, 489) = ( 404 x 489 ) / 197556

GCD(404, 489) = 197556 / 197556

GCD(404, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 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 404, 489, 741, 638 is 1

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1. What is the GCD of 404, 489, 741, 638?

GCD of 404, 489, 741, 638 is 1

2. Where do I get the detailed procedure to find GCD of 404, 489, 741, 638?

You can find a detailed procedure to find GCD of 404, 489, 741, 638 on our page.

3. How to find GCD of 404, 489, 741, 638 on a calculator?

You can find the GCD of 404, 489, 741, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.