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 590, 904, 815, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 904, 815, 421 is 1
GCD(590, 904, 815, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 904, 815, 421 is 1
GCD(590, 904, 815, 421) = 1
Given Input numbers are 590, 904, 815, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
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 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 590, 904, 815, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 904, 815, 421 is 1.
Therefore, GCD of numbers 590, 904, 815, 421 is 1
Given Input Data is 590, 904, 815, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 815 is 5 x 163
Prime Factorization of 421 is 421
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(590, 904) = 266680
GCD(590, 904) = ( 590 x 904 ) / 266680
GCD(590, 904) = 533360 / 266680
GCD(590, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 815) = 1630
GCD(2, 815) = ( 2 x 815 ) / 1630
GCD(2, 815) = 1630 / 1630
GCD(2, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 590, 904, 815, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 904, 815, 421?
GCD of 590, 904, 815, 421 is 1
2. Where do I get the detailed procedure to find GCD of 590, 904, 815, 421?
You can find a detailed procedure to find GCD of 590, 904, 815, 421 on our page.
3. How to find GCD of 590, 904, 815, 421 on a calculator?
You can find the GCD of 590, 904, 815, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.