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 207, 885, 327, 330 i.e. 3 largest integer that divides all the numbers equally.
GCD of 207, 885, 327, 330 is 3
GCD(207, 885, 327, 330) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 885, 327, 330 is 3
GCD(207, 885, 327, 330) = 3
Given Input numbers are 207, 885, 327, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 207, 885, 327, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 885, 327, 330 is 3.
Therefore, GCD of numbers 207, 885, 327, 330 is 3
Given Input Data is 207, 885, 327, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 327 is 3 x 109
Prime Factorization of 330 is 2 x 3 x 5 x 11
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(207, 885) = 61065
GCD(207, 885) = ( 207 x 885 ) / 61065
GCD(207, 885) = 183195 / 61065
GCD(207, 885) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
GCD(3, 327) = 981 / 327
GCD(3, 327) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 330) = 330
GCD(3, 330) = ( 3 x 330 ) / 330
GCD(3, 330) = 990 / 330
GCD(3, 330) = 3
GCD of 207, 885, 327, 330 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 885, 327, 330?
GCD of 207, 885, 327, 330 is 3
2. Where do I get the detailed procedure to find GCD of 207, 885, 327, 330?
You can find a detailed procedure to find GCD of 207, 885, 327, 330 on our page.
3. How to find GCD of 207, 885, 327, 330 on a calculator?
You can find the GCD of 207, 885, 327, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.