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 816, 393, 263, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 393, 263, 853 is 1
GCD(816, 393, 263, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 393, 263, 853 is 1
GCD(816, 393, 263, 853) = 1
Given Input numbers are 816, 393, 263, 853
To find the GCD of numbers using factoring list out all the divisors of each number
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 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 816, 393, 263, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 393, 263, 853 is 1.
Therefore, GCD of numbers 816, 393, 263, 853 is 1
Given Input Data is 816, 393, 263, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 393 is 3 x 131
Prime Factorization of 263 is 263
Prime Factorization of 853 is 853
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(816, 393) = 106896
GCD(816, 393) = ( 816 x 393 ) / 106896
GCD(816, 393) = 320688 / 106896
GCD(816, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 263) = 789
GCD(3, 263) = ( 3 x 263 ) / 789
GCD(3, 263) = 789 / 789
GCD(3, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 816, 393, 263, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 393, 263, 853?
GCD of 816, 393, 263, 853 is 1
2. Where do I get the detailed procedure to find GCD of 816, 393, 263, 853?
You can find a detailed procedure to find GCD of 816, 393, 263, 853 on our page.
3. How to find GCD of 816, 393, 263, 853 on a calculator?
You can find the GCD of 816, 393, 263, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.