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, 735, 524, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 735, 524, 393 is 1
GCD(333, 735, 524, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 735, 524, 393 is 1
GCD(333, 735, 524, 393) = 1
Given Input numbers are 333, 735, 524, 393
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 333, 735, 524, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 735, 524, 393 is 1.
Therefore, GCD of numbers 333, 735, 524, 393 is 1
Given Input Data is 333, 735, 524, 393
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 735 is 3 x 5 x 7 x 7
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 393 is 3 x 131
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(333, 735) = 81585
GCD(333, 735) = ( 333 x 735 ) / 81585
GCD(333, 735) = 244755 / 81585
GCD(333, 735) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 524) = 1572
GCD(3, 524) = ( 3 x 524 ) / 1572
GCD(3, 524) = 1572 / 1572
GCD(3, 524) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 333, 735, 524, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 735, 524, 393?
GCD of 333, 735, 524, 393 is 1
2. Where do I get the detailed procedure to find GCD of 333, 735, 524, 393?
You can find a detailed procedure to find GCD of 333, 735, 524, 393 on our page.
3. How to find GCD of 333, 735, 524, 393 on a calculator?
You can find the GCD of 333, 735, 524, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.