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, 531, 243 i.e. 3 largest integer that divides all the numbers equally.
GCD of 510, 531, 243 is 3
GCD(510, 531, 243) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 531, 243 is 3
GCD(510, 531, 243) = 3
Given Input numbers are 510, 531, 243
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 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 510, 531, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 531, 243 is 3.
Therefore, GCD of numbers 510, 531, 243 is 3
Given Input Data is 510, 531, 243
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 531 is 3 x 3 x 59
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 531) = 90270
GCD(510, 531) = ( 510 x 531 ) / 90270
GCD(510, 531) = 270810 / 90270
GCD(510, 531) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
GCD(3, 243) = 729 / 243
GCD(3, 243) = 3
GCD of 510, 531, 243 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 531, 243?
GCD of 510, 531, 243 is 3
2. Where do I get the detailed procedure to find GCD of 510, 531, 243?
You can find a detailed procedure to find GCD of 510, 531, 243 on our page.
3. How to find GCD of 510, 531, 243 on a calculator?
You can find the GCD of 510, 531, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.