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 908, 394, 69, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 394, 69, 104 is 1
GCD(908, 394, 69, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 394, 69, 104 is 1
GCD(908, 394, 69, 104) = 1
Given Input numbers are 908, 394, 69, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 908, 394, 69, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 394, 69, 104 is 1.
Therefore, GCD of numbers 908, 394, 69, 104 is 1
Given Input Data is 908, 394, 69, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 394 is 2 x 197
Prime Factorization of 69 is 3 x 23
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(908, 394) = 178876
GCD(908, 394) = ( 908 x 394 ) / 178876
GCD(908, 394) = 357752 / 178876
GCD(908, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
GCD of 908, 394, 69, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 394, 69, 104?
GCD of 908, 394, 69, 104 is 1
2. Where do I get the detailed procedure to find GCD of 908, 394, 69, 104?
You can find a detailed procedure to find GCD of 908, 394, 69, 104 on our page.
3. How to find GCD of 908, 394, 69, 104 on a calculator?
You can find the GCD of 908, 394, 69, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.