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, 111, 35, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 933, 111, 35, 324 is 1
GCD(933, 111, 35, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 933, 111, 35, 324 is 1
GCD(933, 111, 35, 324) = 1
Given Input numbers are 933, 111, 35, 324
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 933, 111, 35, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 111, 35, 324 is 1.
Therefore, GCD of numbers 933, 111, 35, 324 is 1
Given Input Data is 933, 111, 35, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 933 is 3 x 311
Prime Factorization of 111 is 3 x 37
Prime Factorization of 35 is 5 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(933, 111) = 34521
GCD(933, 111) = ( 933 x 111 ) / 34521
GCD(933, 111) = 103563 / 34521
GCD(933, 111) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 933, 111, 35, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 933, 111, 35, 324?
GCD of 933, 111, 35, 324 is 1
2. Where do I get the detailed procedure to find GCD of 933, 111, 35, 324?
You can find a detailed procedure to find GCD of 933, 111, 35, 324 on our page.
3. How to find GCD of 933, 111, 35, 324 on a calculator?
You can find the GCD of 933, 111, 35, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.