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 836, 231, 365, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 231, 365, 717 is 1
GCD(836, 231, 365, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 231, 365, 717 is 1
GCD(836, 231, 365, 717) = 1
Given Input numbers are 836, 231, 365, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 836, 231, 365, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 231, 365, 717 is 1.
Therefore, GCD of numbers 836, 231, 365, 717 is 1
Given Input Data is 836, 231, 365, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 365 is 5 x 73
Prime Factorization of 717 is 3 x 239
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(836, 231) = 17556
GCD(836, 231) = ( 836 x 231 ) / 17556
GCD(836, 231) = 193116 / 17556
GCD(836, 231) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 365) = 4015
GCD(11, 365) = ( 11 x 365 ) / 4015
GCD(11, 365) = 4015 / 4015
GCD(11, 365) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 836, 231, 365, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 231, 365, 717?
GCD of 836, 231, 365, 717 is 1
2. Where do I get the detailed procedure to find GCD of 836, 231, 365, 717?
You can find a detailed procedure to find GCD of 836, 231, 365, 717 on our page.
3. How to find GCD of 836, 231, 365, 717 on a calculator?
You can find the GCD of 836, 231, 365, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.