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 508, 513, 40, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 513, 40, 842 is 1
GCD(508, 513, 40, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 513, 40, 842 is 1
GCD(508, 513, 40, 842) = 1
Given Input numbers are 508, 513, 40, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 508, 513, 40, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 513, 40, 842 is 1.
Therefore, GCD of numbers 508, 513, 40, 842 is 1
Given Input Data is 508, 513, 40, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 842 is 2 x 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(508, 513) = 260604
GCD(508, 513) = ( 508 x 513 ) / 260604
GCD(508, 513) = 260604 / 260604
GCD(508, 513) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 508, 513, 40, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 508, 513, 40, 842?
GCD of 508, 513, 40, 842 is 1
2. Where do I get the detailed procedure to find GCD of 508, 513, 40, 842?
You can find a detailed procedure to find GCD of 508, 513, 40, 842 on our page.
3. How to find GCD of 508, 513, 40, 842 on a calculator?
You can find the GCD of 508, 513, 40, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.