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 808, 904, 57, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 904, 57, 260 is 1
GCD(808, 904, 57, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 904, 57, 260 is 1
GCD(808, 904, 57, 260) = 1
Given Input numbers are 808, 904, 57, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
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 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 808, 904, 57, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 904, 57, 260 is 1.
Therefore, GCD of numbers 808, 904, 57, 260 is 1
Given Input Data is 808, 904, 57, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 57 is 3 x 19
Prime Factorization of 260 is 2 x 2 x 5 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(808, 904) = 91304
GCD(808, 904) = ( 808 x 904 ) / 91304
GCD(808, 904) = 730432 / 91304
GCD(808, 904) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 57) = 456
GCD(8, 57) = ( 8 x 57 ) / 456
GCD(8, 57) = 456 / 456
GCD(8, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 808, 904, 57, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 904, 57, 260?
GCD of 808, 904, 57, 260 is 1
2. Where do I get the detailed procedure to find GCD of 808, 904, 57, 260?
You can find a detailed procedure to find GCD of 808, 904, 57, 260 on our page.
3. How to find GCD of 808, 904, 57, 260 on a calculator?
You can find the GCD of 808, 904, 57, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.