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 104, 367, 122, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 367, 122, 370 is 1
GCD(104, 367, 122, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 367, 122, 370 is 1
GCD(104, 367, 122, 370) = 1
Given Input numbers are 104, 367, 122, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 104, 367, 122, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 367, 122, 370 is 1.
Therefore, GCD of numbers 104, 367, 122, 370 is 1
Given Input Data is 104, 367, 122, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 367 is 367
Prime Factorization of 122 is 2 x 61
Prime Factorization of 370 is 2 x 5 x 37
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(104, 367) = 38168
GCD(104, 367) = ( 104 x 367 ) / 38168
GCD(104, 367) = 38168 / 38168
GCD(104, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 104, 367, 122, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 367, 122, 370?
GCD of 104, 367, 122, 370 is 1
2. Where do I get the detailed procedure to find GCD of 104, 367, 122, 370?
You can find a detailed procedure to find GCD of 104, 367, 122, 370 on our page.
3. How to find GCD of 104, 367, 122, 370 on a calculator?
You can find the GCD of 104, 367, 122, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.