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 905, 865, 935, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 905, 865, 935, 231 is 1
GCD(905, 865, 935, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 905, 865, 935, 231 is 1
GCD(905, 865, 935, 231) = 1
Given Input numbers are 905, 865, 935, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 905, 865, 935, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 865, 935, 231 is 1.
Therefore, GCD of numbers 905, 865, 935, 231 is 1
Given Input Data is 905, 865, 935, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 905 is 5 x 181
Prime Factorization of 865 is 5 x 173
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 231 is 3 x 7 x 11
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(905, 865) = 156565
GCD(905, 865) = ( 905 x 865 ) / 156565
GCD(905, 865) = 782825 / 156565
GCD(905, 865) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 935) = 935
GCD(5, 935) = ( 5 x 935 ) / 935
GCD(5, 935) = 4675 / 935
GCD(5, 935) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 231) = 1155
GCD(5, 231) = ( 5 x 231 ) / 1155
GCD(5, 231) = 1155 / 1155
GCD(5, 231) = 1
GCD of 905, 865, 935, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 905, 865, 935, 231?
GCD of 905, 865, 935, 231 is 1
2. Where do I get the detailed procedure to find GCD of 905, 865, 935, 231?
You can find a detailed procedure to find GCD of 905, 865, 935, 231 on our page.
3. How to find GCD of 905, 865, 935, 231 on a calculator?
You can find the GCD of 905, 865, 935, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.