GCD of 284, 323, 816 Calculator

Given Input numbers are 284, 323, 816

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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

Greatest Common Divisior

We found the divisors of 284, 323, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 323, 816 is 1.

Therefore, GCD of numbers 284, 323, 816 is 1

Given Input Data is 284, 323, 816

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 323 is 17 x 19

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

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(284, 323) = 91732

GCD(284, 323) = ( 284 x 323 ) / 91732

GCD(284, 323) = 91732 / 91732

GCD(284, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 284, 323, 816 is 1

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1. What is the GCD of 284, 323, 816?

GCD of 284, 323, 816 is 1

2. Where do I get the detailed procedure to find GCD of 284, 323, 816?

You can find a detailed procedure to find GCD of 284, 323, 816 on our page.

3. How to find GCD of 284, 323, 816 on a calculator?

You can find the GCD of 284, 323, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.