GCD of 17, 787, 816, 228 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 17, 787, 816, 228 i.e. 1 largest integer that divides all the numbers equally.

GCD of 17, 787, 816, 228 is 1

GCD(17, 787, 816, 228) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 17, 787, 816, 228 is 1

GCD(17, 787, 816, 228) = 1

GCD of 17,787,816,228 Calculator

GCDof 17,787,816,228 is 1

Given Input numbers are 17, 787, 816, 228

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 17, 787, 816, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 787, 816, 228 is 1.

Therefore, GCD of numbers 17, 787, 816, 228 is 1

Finding GCD of 17, 787, 816, 228 using Prime Factorization

Given Input Data is 17, 787, 816, 228

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

Prime Factorization of 17 is 17

Prime Factorization of 787 is 787

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 17, 787, 816, 228 using LCM Formula

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(17, 787) = 13379

GCD(17, 787) = ( 17 x 787 ) / 13379

GCD(17, 787) = 13379 / 13379

GCD(17, 787) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 17, 787, 816, 228 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 17, 787, 816, 228

1. What is the GCD of 17, 787, 816, 228?

GCD of 17, 787, 816, 228 is 1


2. Where do I get the detailed procedure to find GCD of 17, 787, 816, 228?

You can find a detailed procedure to find GCD of 17, 787, 816, 228 on our page.


3. How to find GCD of 17, 787, 816, 228 on a calculator?

You can find the GCD of 17, 787, 816, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.