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 330, 249, 25, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 330, 249, 25, 866 is 1
GCD(330, 249, 25, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 330, 249, 25, 866 is 1
GCD(330, 249, 25, 866) = 1
Given Input numbers are 330, 249, 25, 866
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 330, 249, 25, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 249, 25, 866 is 1.
Therefore, GCD of numbers 330, 249, 25, 866 is 1
Given Input Data is 330, 249, 25, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 249 is 3 x 83
Prime Factorization of 25 is 5 x 5
Prime Factorization of 866 is 2 x 433
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(330, 249) = 27390
GCD(330, 249) = ( 330 x 249 ) / 27390
GCD(330, 249) = 82170 / 27390
GCD(330, 249) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 25) = 75
GCD(3, 25) = ( 3 x 25 ) / 75
GCD(3, 25) = 75 / 75
GCD(3, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 866) = 866
GCD(1, 866) = ( 1 x 866 ) / 866
GCD(1, 866) = 866 / 866
GCD(1, 866) = 1
GCD of 330, 249, 25, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 330, 249, 25, 866?
GCD of 330, 249, 25, 866 is 1
2. Where do I get the detailed procedure to find GCD of 330, 249, 25, 866?
You can find a detailed procedure to find GCD of 330, 249, 25, 866 on our page.
3. How to find GCD of 330, 249, 25, 866 on a calculator?
You can find the GCD of 330, 249, 25, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.