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 368, 117, 75, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 117, 75, 904 is 1
GCD(368, 117, 75, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 117, 75, 904 is 1
GCD(368, 117, 75, 904) = 1
Given Input numbers are 368, 117, 75, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
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 368, 117, 75, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 117, 75, 904 is 1.
Therefore, GCD of numbers 368, 117, 75, 904 is 1
Given Input Data is 368, 117, 75, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 75 is 3 x 5 x 5
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(368, 117) = 43056
GCD(368, 117) = ( 368 x 117 ) / 43056
GCD(368, 117) = 43056 / 43056
GCD(368, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 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 368, 117, 75, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 117, 75, 904?
GCD of 368, 117, 75, 904 is 1
2. Where do I get the detailed procedure to find GCD of 368, 117, 75, 904?
You can find a detailed procedure to find GCD of 368, 117, 75, 904 on our page.
3. How to find GCD of 368, 117, 75, 904 on a calculator?
You can find the GCD of 368, 117, 75, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.