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 939, 904, 119, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 904, 119, 305 is 1
GCD(939, 904, 119, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 904, 119, 305 is 1
GCD(939, 904, 119, 305) = 1
Given Input numbers are 939, 904, 119, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 939, 904, 119, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 904, 119, 305 is 1.
Therefore, GCD of numbers 939, 904, 119, 305 is 1
Given Input Data is 939, 904, 119, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 119 is 7 x 17
Prime Factorization of 305 is 5 x 61
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(939, 904) = 848856
GCD(939, 904) = ( 939 x 904 ) / 848856
GCD(939, 904) = 848856 / 848856
GCD(939, 904) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 939, 904, 119, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 904, 119, 305?
GCD of 939, 904, 119, 305 is 1
2. Where do I get the detailed procedure to find GCD of 939, 904, 119, 305?
You can find a detailed procedure to find GCD of 939, 904, 119, 305 on our page.
3. How to find GCD of 939, 904, 119, 305 on a calculator?
You can find the GCD of 939, 904, 119, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.