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 117, 365, 48, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 365, 48, 904 is 1
GCD(117, 365, 48, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 365, 48, 904 is 1
GCD(117, 365, 48, 904) = 1
Given Input numbers are 117, 365, 48, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 117, 365, 48, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 365, 48, 904 is 1.
Therefore, GCD of numbers 117, 365, 48, 904 is 1
Given Input Data is 117, 365, 48, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 365 is 5 x 73
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(117, 365) = 42705
GCD(117, 365) = ( 117 x 365 ) / 42705
GCD(117, 365) = 42705 / 42705
GCD(117, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 117, 365, 48, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 365, 48, 904?
GCD of 117, 365, 48, 904 is 1
2. Where do I get the detailed procedure to find GCD of 117, 365, 48, 904?
You can find a detailed procedure to find GCD of 117, 365, 48, 904 on our page.
3. How to find GCD of 117, 365, 48, 904 on a calculator?
You can find the GCD of 117, 365, 48, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.