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 255, 199, 904, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 199, 904, 721 is 1
GCD(255, 199, 904, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 199, 904, 721 is 1
GCD(255, 199, 904, 721) = 1
Given Input numbers are 255, 199, 904, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
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 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 255, 199, 904, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 199, 904, 721 is 1.
Therefore, GCD of numbers 255, 199, 904, 721 is 1
Given Input Data is 255, 199, 904, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 199 is 199
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 721 is 7 x 103
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(255, 199) = 50745
GCD(255, 199) = ( 255 x 199 ) / 50745
GCD(255, 199) = 50745 / 50745
GCD(255, 199) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 255, 199, 904, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 199, 904, 721?
GCD of 255, 199, 904, 721 is 1
2. Where do I get the detailed procedure to find GCD of 255, 199, 904, 721?
You can find a detailed procedure to find GCD of 255, 199, 904, 721 on our page.
3. How to find GCD of 255, 199, 904, 721 on a calculator?
You can find the GCD of 255, 199, 904, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.