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 122, 145, 304, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 145, 304, 908 is 1
GCD(122, 145, 304, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 145, 304, 908 is 1
GCD(122, 145, 304, 908) = 1
Given Input numbers are 122, 145, 304, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 122, 145, 304, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 145, 304, 908 is 1.
Therefore, GCD of numbers 122, 145, 304, 908 is 1
Given Input Data is 122, 145, 304, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 145 is 5 x 29
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 908 is 2 x 2 x 227
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(122, 145) = 17690
GCD(122, 145) = ( 122 x 145 ) / 17690
GCD(122, 145) = 17690 / 17690
GCD(122, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 122, 145, 304, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 145, 304, 908?
GCD of 122, 145, 304, 908 is 1
2. Where do I get the detailed procedure to find GCD of 122, 145, 304, 908?
You can find a detailed procedure to find GCD of 122, 145, 304, 908 on our page.
3. How to find GCD of 122, 145, 304, 908 on a calculator?
You can find the GCD of 122, 145, 304, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.