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 234, 327, 885 i.e. 3 largest integer that divides all the numbers equally.
GCD of 234, 327, 885 is 3
GCD(234, 327, 885) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 327, 885 is 3
GCD(234, 327, 885) = 3
Given Input numbers are 234, 327, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 234, 327, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 327, 885 is 3.
Therefore, GCD of numbers 234, 327, 885 is 3
Given Input Data is 234, 327, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 327 is 3 x 109
Prime Factorization of 885 is 3 x 5 x 59
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(234, 327) = 25506
GCD(234, 327) = ( 234 x 327 ) / 25506
GCD(234, 327) = 76518 / 25506
GCD(234, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 885) = 885
GCD(3, 885) = ( 3 x 885 ) / 885
GCD(3, 885) = 2655 / 885
GCD(3, 885) = 3
GCD of 234, 327, 885 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 327, 885?
GCD of 234, 327, 885 is 3
2. Where do I get the detailed procedure to find GCD of 234, 327, 885?
You can find a detailed procedure to find GCD of 234, 327, 885 on our page.
3. How to find GCD of 234, 327, 885 on a calculator?
You can find the GCD of 234, 327, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.