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 933, 231, 333, 495 i.e. 3 largest integer that divides all the numbers equally.
GCD of 933, 231, 333, 495 is 3
GCD(933, 231, 333, 495) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 933, 231, 333, 495 is 3
GCD(933, 231, 333, 495) = 3
Given Input numbers are 933, 231, 333, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 933, 231, 333, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 231, 333, 495 is 3.
Therefore, GCD of numbers 933, 231, 333, 495 is 3
Given Input Data is 933, 231, 333, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 933 is 3 x 311
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(933, 231) = 71841
GCD(933, 231) = ( 933 x 231 ) / 71841
GCD(933, 231) = 215523 / 71841
GCD(933, 231) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 333) = 333
GCD(3, 333) = ( 3 x 333 ) / 333
GCD(3, 333) = 999 / 333
GCD(3, 333) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 495) = 495
GCD(3, 495) = ( 3 x 495 ) / 495
GCD(3, 495) = 1485 / 495
GCD(3, 495) = 3
GCD of 933, 231, 333, 495 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 933, 231, 333, 495?
GCD of 933, 231, 333, 495 is 3
2. Where do I get the detailed procedure to find GCD of 933, 231, 333, 495?
You can find a detailed procedure to find GCD of 933, 231, 333, 495 on our page.
3. How to find GCD of 933, 231, 333, 495 on a calculator?
You can find the GCD of 933, 231, 333, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.