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 333, 777, 510 i.e. 3 largest integer that divides all the numbers equally.
GCD of 333, 777, 510 is 3
GCD(333, 777, 510) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 777, 510 is 3
GCD(333, 777, 510) = 3
Given Input numbers are 333, 777, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
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
Greatest Common Divisior
We found the divisors of 333, 777, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 777, 510 is 3.
Therefore, GCD of numbers 333, 777, 510 is 3
Given Input Data is 333, 777, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(333, 777) = 2331
GCD(333, 777) = ( 333 x 777 ) / 2331
GCD(333, 777) = 258741 / 2331
GCD(333, 777) = 111
Step2:
Here we consider the GCD from the above i.e. 111 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(111, 510) = 18870
GCD(111, 510) = ( 111 x 510 ) / 18870
GCD(111, 510) = 56610 / 18870
GCD(111, 510) = 3
GCD of 333, 777, 510 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 777, 510?
GCD of 333, 777, 510 is 3
2. Where do I get the detailed procedure to find GCD of 333, 777, 510?
You can find a detailed procedure to find GCD of 333, 777, 510 on our page.
3. How to find GCD of 333, 777, 510 on a calculator?
You can find the GCD of 333, 777, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.