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, 472, 48 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 472, 48 is 1
GCD(333, 472, 48) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 472, 48 is 1
GCD(333, 472, 48) = 1
Given Input numbers are 333, 472, 48
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 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest Common Divisior
We found the divisors of 333, 472, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 472, 48 is 1.
Therefore, GCD of numbers 333, 472, 48 is 1
Given Input Data is 333, 472, 48
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 472 is 2 x 2 x 2 x 59
Prime Factorization of 48 is 2 x 2 x 2 x 2 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(333, 472) = 157176
GCD(333, 472) = ( 333 x 472 ) / 157176
GCD(333, 472) = 157176 / 157176
GCD(333, 472) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
GCD of 333, 472, 48 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 472, 48?
GCD of 333, 472, 48 is 1
2. Where do I get the detailed procedure to find GCD of 333, 472, 48?
You can find a detailed procedure to find GCD of 333, 472, 48 on our page.
3. How to find GCD of 333, 472, 48 on a calculator?
You can find the GCD of 333, 472, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.