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, 360, 984, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 360, 984, 499 is 1
GCD(999, 360, 984, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 360, 984, 499 is 1
GCD(999, 360, 984, 499) = 1
Given Input numbers are 999, 360, 984, 499
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 999, 360, 984, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 360, 984, 499 is 1.
Therefore, GCD of numbers 999, 360, 984, 499 is 1
Given Input Data is 999, 360, 984, 499
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 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 499 is 499
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(999, 360) = 39960
GCD(999, 360) = ( 999 x 360 ) / 39960
GCD(999, 360) = 359640 / 39960
GCD(999, 360) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 984) = 2952
GCD(9, 984) = ( 9 x 984 ) / 2952
GCD(9, 984) = 8856 / 2952
GCD(9, 984) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 499) = 1497
GCD(3, 499) = ( 3 x 499 ) / 1497
GCD(3, 499) = 1497 / 1497
GCD(3, 499) = 1
GCD of 999, 360, 984, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 360, 984, 499?
GCD of 999, 360, 984, 499 is 1
2. Where do I get the detailed procedure to find GCD of 999, 360, 984, 499?
You can find a detailed procedure to find GCD of 999, 360, 984, 499 on our page.
3. How to find GCD of 999, 360, 984, 499 on a calculator?
You can find the GCD of 999, 360, 984, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.