GCD of 216, 256, 872, 817 Calculator

Given Input numbers are 216, 256, 872, 817

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 216, 256, 872, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 256, 872, 817 is 1.

Therefore, GCD of numbers 216, 256, 872, 817 is 1

Given Input Data is 216, 256, 872, 817

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 817 is 19 x 43

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(216, 256) = 6912

GCD(216, 256) = ( 216 x 256 ) / 6912

GCD(216, 256) = 55296 / 6912

GCD(216, 256) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 872

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

LCM(8, 872) = 872

GCD(8, 872) = ( 8 x 872 ) / 872

GCD(8, 872) = 6976 / 872

GCD(8, 872) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 817

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

LCM(8, 817) = 6536

GCD(8, 817) = ( 8 x 817 ) / 6536

GCD(8, 817) = 6536 / 6536

GCD(8, 817) = 1

GCD of 216, 256, 872, 817 is 1

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1. What is the GCD of 216, 256, 872, 817?

GCD of 216, 256, 872, 817 is 1

2. Where do I get the detailed procedure to find GCD of 216, 256, 872, 817?

You can find a detailed procedure to find GCD of 216, 256, 872, 817 on our page.

3. How to find GCD of 216, 256, 872, 817 on a calculator?

You can find the GCD of 216, 256, 872, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.