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 502, 412, 13, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 412, 13, 905 is 1
GCD(502, 412, 13, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 412, 13, 905 is 1
GCD(502, 412, 13, 905) = 1
Given Input numbers are 502, 412, 13, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 502, 412, 13, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 412, 13, 905 is 1.
Therefore, GCD of numbers 502, 412, 13, 905 is 1
Given Input Data is 502, 412, 13, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 13 is 13
Prime Factorization of 905 is 5 x 181
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(502, 412) = 103412
GCD(502, 412) = ( 502 x 412 ) / 103412
GCD(502, 412) = 206824 / 103412
GCD(502, 412) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 502, 412, 13, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 412, 13, 905?
GCD of 502, 412, 13, 905 is 1
2. Where do I get the detailed procedure to find GCD of 502, 412, 13, 905?
You can find a detailed procedure to find GCD of 502, 412, 13, 905 on our page.
3. How to find GCD of 502, 412, 13, 905 on a calculator?
You can find the GCD of 502, 412, 13, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.