GCD of 304, 816, 563, 438 Calculator

Given Input numbers are 304, 816, 563, 438

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 304, 816, 563, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 816, 563, 438 is 1.

Therefore, GCD of numbers 304, 816, 563, 438 is 1

Given Input Data is 304, 816, 563, 438

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 563 is 563

Prime Factorization of 438 is 2 x 3 x 73

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(304, 816) = 15504

GCD(304, 816) = ( 304 x 816 ) / 15504

GCD(304, 816) = 248064 / 15504

GCD(304, 816) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 563

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

LCM(16, 563) = 9008

GCD(16, 563) = ( 16 x 563 ) / 9008

GCD(16, 563) = 9008 / 9008

GCD(16, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 304, 816, 563, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 406, 755, 141
• GCD of 706, 257, 185, 709
• GCD of 963, 455, 909, 997
• GCD of 899, 464, 569, 753
• GCD of 424, 686, 927, 432

1. What is the GCD of 304, 816, 563, 438?

GCD of 304, 816, 563, 438 is 1

2. Where do I get the detailed procedure to find GCD of 304, 816, 563, 438?

You can find a detailed procedure to find GCD of 304, 816, 563, 438 on our page.

3. How to find GCD of 304, 816, 563, 438 on a calculator?

You can find the GCD of 304, 816, 563, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.