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 249, 333, 909, 198 i.e. 3 largest integer that divides all the numbers equally.
GCD of 249, 333, 909, 198 is 3
GCD(249, 333, 909, 198) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 333, 909, 198 is 3
GCD(249, 333, 909, 198) = 3
Given Input numbers are 249, 333, 909, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 249, 333, 909, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 333, 909, 198 is 3.
Therefore, GCD of numbers 249, 333, 909, 198 is 3
Given Input Data is 249, 333, 909, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 198 is 2 x 3 x 3 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(249, 333) = 27639
GCD(249, 333) = ( 249 x 333 ) / 27639
GCD(249, 333) = 82917 / 27639
GCD(249, 333) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
GCD(3, 909) = 2727 / 909
GCD(3, 909) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
GCD(3, 198) = 594 / 198
GCD(3, 198) = 3
GCD of 249, 333, 909, 198 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 333, 909, 198?
GCD of 249, 333, 909, 198 is 3
2. Where do I get the detailed procedure to find GCD of 249, 333, 909, 198?
You can find a detailed procedure to find GCD of 249, 333, 909, 198 on our page.
3. How to find GCD of 249, 333, 909, 198 on a calculator?
You can find the GCD of 249, 333, 909, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.