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, 663, 852, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 663, 852, 532 is 1
GCD(999, 663, 852, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 663, 852, 532 is 1
GCD(999, 663, 852, 532) = 1
Given Input numbers are 999, 663, 852, 532
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 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 999, 663, 852, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 663, 852, 532 is 1.
Therefore, GCD of numbers 999, 663, 852, 532 is 1
Given Input Data is 999, 663, 852, 532
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 663 is 3 x 13 x 17
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 532 is 2 x 2 x 7 x 19
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, 663) = 220779
GCD(999, 663) = ( 999 x 663 ) / 220779
GCD(999, 663) = 662337 / 220779
GCD(999, 663) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 852) = 852
GCD(3, 852) = ( 3 x 852 ) / 852
GCD(3, 852) = 2556 / 852
GCD(3, 852) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 532) = 1596
GCD(3, 532) = ( 3 x 532 ) / 1596
GCD(3, 532) = 1596 / 1596
GCD(3, 532) = 1
GCD of 999, 663, 852, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 663, 852, 532?
GCD of 999, 663, 852, 532 is 1
2. Where do I get the detailed procedure to find GCD of 999, 663, 852, 532?
You can find a detailed procedure to find GCD of 999, 663, 852, 532 on our page.
3. How to find GCD of 999, 663, 852, 532 on a calculator?
You can find the GCD of 999, 663, 852, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.