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 999, 288, 408 i.e. 3 largest integer that divides all the numbers equally.
GCD of 999, 288, 408 is 3
GCD(999, 288, 408) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 288, 408 is 3
GCD(999, 288, 408) = 3
Given Input numbers are 999, 288, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 999, 288, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 288, 408 is 3.
Therefore, GCD of numbers 999, 288, 408 is 3
Given Input Data is 999, 288, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(999, 288) = 31968
GCD(999, 288) = ( 999 x 288 ) / 31968
GCD(999, 288) = 287712 / 31968
GCD(999, 288) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 408) = 1224
GCD(9, 408) = ( 9 x 408 ) / 1224
GCD(9, 408) = 3672 / 1224
GCD(9, 408) = 3
GCD of 999, 288, 408 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 288, 408?
GCD of 999, 288, 408 is 3
2. Where do I get the detailed procedure to find GCD of 999, 288, 408?
You can find a detailed procedure to find GCD of 999, 288, 408 on our page.
3. How to find GCD of 999, 288, 408 on a calculator?
You can find the GCD of 999, 288, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.