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 510, 731, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 731, 835 is 1
GCD(510, 731, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 731, 835 is 1
GCD(510, 731, 835) = 1
Given Input numbers are 510, 731, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 510, 731, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 731, 835 is 1.
Therefore, GCD of numbers 510, 731, 835 is 1
Given Input Data is 510, 731, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 731 is 17 x 43
Prime Factorization of 835 is 5 x 167
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(510, 731) = 21930
GCD(510, 731) = ( 510 x 731 ) / 21930
GCD(510, 731) = 372810 / 21930
GCD(510, 731) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 835) = 14195
GCD(17, 835) = ( 17 x 835 ) / 14195
GCD(17, 835) = 14195 / 14195
GCD(17, 835) = 1
GCD of 510, 731, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 731, 835?
GCD of 510, 731, 835 is 1
2. Where do I get the detailed procedure to find GCD of 510, 731, 835?
You can find a detailed procedure to find GCD of 510, 731, 835 on our page.
3. How to find GCD of 510, 731, 835 on a calculator?
You can find the GCD of 510, 731, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.