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, 901, 113, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 901, 113, 321 is 1
GCD(333, 901, 113, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 901, 113, 321 is 1
GCD(333, 901, 113, 321) = 1
Given Input numbers are 333, 901, 113, 321
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 333, 901, 113, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 901, 113, 321 is 1.
Therefore, GCD of numbers 333, 901, 113, 321 is 1
Given Input Data is 333, 901, 113, 321
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 901 is 17 x 53
Prime Factorization of 113 is 113
Prime Factorization of 321 is 3 x 107
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, 901) = 300033
GCD(333, 901) = ( 333 x 901 ) / 300033
GCD(333, 901) = 300033 / 300033
GCD(333, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 333, 901, 113, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 901, 113, 321?
GCD of 333, 901, 113, 321 is 1
2. Where do I get the detailed procedure to find GCD of 333, 901, 113, 321?
You can find a detailed procedure to find GCD of 333, 901, 113, 321 on our page.
3. How to find GCD of 333, 901, 113, 321 on a calculator?
You can find the GCD of 333, 901, 113, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.