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 401, 518, 721, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 518, 721, 559 is 1
GCD(401, 518, 721, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 518, 721, 559 is 1
GCD(401, 518, 721, 559) = 1
Given Input numbers are 401, 518, 721, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 401, 518, 721, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 518, 721, 559 is 1.
Therefore, GCD of numbers 401, 518, 721, 559 is 1
Given Input Data is 401, 518, 721, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 721 is 7 x 103
Prime Factorization of 559 is 13 x 43
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(401, 518) = 207718
GCD(401, 518) = ( 401 x 518 ) / 207718
GCD(401, 518) = 207718 / 207718
GCD(401, 518) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 401, 518, 721, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 518, 721, 559?
GCD of 401, 518, 721, 559 is 1
2. Where do I get the detailed procedure to find GCD of 401, 518, 721, 559?
You can find a detailed procedure to find GCD of 401, 518, 721, 559 on our page.
3. How to find GCD of 401, 518, 721, 559 on a calculator?
You can find the GCD of 401, 518, 721, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.