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, 246, 117, 405 i.e. 3 largest integer that divides all the numbers equally.
GCD of 999, 246, 117, 405 is 3
GCD(999, 246, 117, 405) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 246, 117, 405 is 3
GCD(999, 246, 117, 405) = 3
Given Input numbers are 999, 246, 117, 405
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 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 999, 246, 117, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 246, 117, 405 is 3.
Therefore, GCD of numbers 999, 246, 117, 405 is 3
Given Input Data is 999, 246, 117, 405
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 246 is 2 x 3 x 41
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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, 246) = 81918
GCD(999, 246) = ( 999 x 246 ) / 81918
GCD(999, 246) = 245754 / 81918
GCD(999, 246) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 117) = 117
GCD(3, 117) = ( 3 x 117 ) / 117
GCD(3, 117) = 351 / 117
GCD(3, 117) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 405) = 405
GCD(3, 405) = ( 3 x 405 ) / 405
GCD(3, 405) = 1215 / 405
GCD(3, 405) = 3
GCD of 999, 246, 117, 405 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 246, 117, 405?
GCD of 999, 246, 117, 405 is 3
2. Where do I get the detailed procedure to find GCD of 999, 246, 117, 405?
You can find a detailed procedure to find GCD of 999, 246, 117, 405 on our page.
3. How to find GCD of 999, 246, 117, 405 on a calculator?
You can find the GCD of 999, 246, 117, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.