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 318, 483, 12, 996 i.e. 3 largest integer that divides all the numbers equally.
GCD of 318, 483, 12, 996 is 3
GCD(318, 483, 12, 996) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 483, 12, 996 is 3
GCD(318, 483, 12, 996) = 3
Given Input numbers are 318, 483, 12, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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
Greatest Common Divisior
We found the divisors of 318, 483, 12, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 483, 12, 996 is 3.
Therefore, GCD of numbers 318, 483, 12, 996 is 3
Given Input Data is 318, 483, 12, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(318, 483) = 51198
GCD(318, 483) = ( 318 x 483 ) / 51198
GCD(318, 483) = 153594 / 51198
GCD(318, 483) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
GCD(3, 12) = 36 / 12
GCD(3, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
GCD(3, 996) = 2988 / 996
GCD(3, 996) = 3
GCD of 318, 483, 12, 996 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 483, 12, 996?
GCD of 318, 483, 12, 996 is 3
2. Where do I get the detailed procedure to find GCD of 318, 483, 12, 996?
You can find a detailed procedure to find GCD of 318, 483, 12, 996 on our page.
3. How to find GCD of 318, 483, 12, 996 on a calculator?
You can find the GCD of 318, 483, 12, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.