GCD of 324, 816, 49, 638 Calculator

Given Input numbers are 324, 816, 49, 638

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 324, 816, 49, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 816, 49, 638 is 1.

Therefore, GCD of numbers 324, 816, 49, 638 is 1

Given Input Data is 324, 816, 49, 638

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 49 is 7 x 7

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(324, 816) = 22032

GCD(324, 816) = ( 324 x 816 ) / 22032

GCD(324, 816) = 264384 / 22032

GCD(324, 816) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 49

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

LCM(12, 49) = 588

GCD(12, 49) = ( 12 x 49 ) / 588

GCD(12, 49) = 588 / 588

GCD(12, 49) = 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 324, 816, 49, 638 is 1

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1. What is the GCD of 324, 816, 49, 638?

GCD of 324, 816, 49, 638 is 1

2. Where do I get the detailed procedure to find GCD of 324, 816, 49, 638?

You can find a detailed procedure to find GCD of 324, 816, 49, 638 on our page.

3. How to find GCD of 324, 816, 49, 638 on a calculator?

You can find the GCD of 324, 816, 49, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.