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 366, 122, 104 i.e. 2 largest integer that divides all the numbers equally.
GCD of 366, 122, 104 is 2
GCD(366, 122, 104) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 122, 104 is 2
GCD(366, 122, 104) = 2
Given Input numbers are 366, 122, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 366, 122, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 122, 104 is 2.
Therefore, GCD of numbers 366, 122, 104 is 2
Given Input Data is 366, 122, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 122 is 2 x 61
Prime Factorization of 104 is 2 x 2 x 2 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(366, 122) = 366
GCD(366, 122) = ( 366 x 122 ) / 366
GCD(366, 122) = 44652 / 366
GCD(366, 122) = 122
Step2:
Here we consider the GCD from the above i.e. 122 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(122, 104) = 6344
GCD(122, 104) = ( 122 x 104 ) / 6344
GCD(122, 104) = 12688 / 6344
GCD(122, 104) = 2
GCD of 366, 122, 104 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 122, 104?
GCD of 366, 122, 104 is 2
2. Where do I get the detailed procedure to find GCD of 366, 122, 104?
You can find a detailed procedure to find GCD of 366, 122, 104 on our page.
3. How to find GCD of 366, 122, 104 on a calculator?
You can find the GCD of 366, 122, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.