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 numbers 17, 787, 816, 228 is 1
GCD(17, 787, 816, 228) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.