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 246, 123, 12, 390 i.e. 3 largest integer that divides all the numbers equally.
GCD of 246, 123, 12, 390 is 3
GCD(246, 123, 12, 390) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 246, 123, 12, 390 is 3
GCD(246, 123, 12, 390) = 3
Given Input numbers are 246, 123, 12, 390
To find the GCD of numbers using factoring list out all the divisors of each number
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 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 246, 123, 12, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 123, 12, 390 is 3.
Therefore, GCD of numbers 246, 123, 12, 390 is 3
Given Input Data is 246, 123, 12, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 123 is 3 x 41
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(246, 123) = 246
GCD(246, 123) = ( 246 x 123 ) / 246
GCD(246, 123) = 30258 / 246
GCD(246, 123) = 123
Step2:
Here we consider the GCD from the above i.e. 123 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(123, 12) = 492
GCD(123, 12) = ( 123 x 12 ) / 492
GCD(123, 12) = 1476 / 492
GCD(123, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
GCD(3, 390) = 1170 / 390
GCD(3, 390) = 3
GCD of 246, 123, 12, 390 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 246, 123, 12, 390?
GCD of 246, 123, 12, 390 is 3
2. Where do I get the detailed procedure to find GCD of 246, 123, 12, 390?
You can find a detailed procedure to find GCD of 246, 123, 12, 390 on our page.
3. How to find GCD of 246, 123, 12, 390 on a calculator?
You can find the GCD of 246, 123, 12, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.