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 996, 315, 798, 303 i.e. 3 largest integer that divides all the numbers equally.
GCD of 996, 315, 798, 303 is 3
GCD(996, 315, 798, 303) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 315, 798, 303 is 3
GCD(996, 315, 798, 303) = 3
Given Input numbers are 996, 315, 798, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 996, 315, 798, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 315, 798, 303 is 3.
Therefore, GCD of numbers 996, 315, 798, 303 is 3
Given Input Data is 996, 315, 798, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 303 is 3 x 101
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(996, 315) = 104580
GCD(996, 315) = ( 996 x 315 ) / 104580
GCD(996, 315) = 313740 / 104580
GCD(996, 315) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 798) = 798
GCD(3, 798) = ( 3 x 798 ) / 798
GCD(3, 798) = 2394 / 798
GCD(3, 798) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 303) = 303
GCD(3, 303) = ( 3 x 303 ) / 303
GCD(3, 303) = 909 / 303
GCD(3, 303) = 3
GCD of 996, 315, 798, 303 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 315, 798, 303?
GCD of 996, 315, 798, 303 is 3
2. Where do I get the detailed procedure to find GCD of 996, 315, 798, 303?
You can find a detailed procedure to find GCD of 996, 315, 798, 303 on our page.
3. How to find GCD of 996, 315, 798, 303 on a calculator?
You can find the GCD of 996, 315, 798, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.