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 765, 227, 996, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 227, 996, 868 is 1
GCD(765, 227, 996, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 227, 996, 868 is 1
GCD(765, 227, 996, 868) = 1
Given Input numbers are 765, 227, 996, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 765, 227, 996, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 227, 996, 868 is 1.
Therefore, GCD of numbers 765, 227, 996, 868 is 1
Given Input Data is 765, 227, 996, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 227 is 227
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(765, 227) = 173655
GCD(765, 227) = ( 765 x 227 ) / 173655
GCD(765, 227) = 173655 / 173655
GCD(765, 227) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 765, 227, 996, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 227, 996, 868?
GCD of 765, 227, 996, 868 is 1
2. Where do I get the detailed procedure to find GCD of 765, 227, 996, 868?
You can find a detailed procedure to find GCD of 765, 227, 996, 868 on our page.
3. How to find GCD of 765, 227, 996, 868 on a calculator?
You can find the GCD of 765, 227, 996, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.