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, 814, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 814, 380 is 1
GCD(333, 814, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 814, 380 is 1
GCD(333, 814, 380) = 1
Given Input numbers are 333, 814, 380
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 333, 814, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 814, 380 is 1.
Therefore, GCD of numbers 333, 814, 380 is 1
Given Input Data is 333, 814, 380
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 814 is 2 x 11 x 37
Prime Factorization of 380 is 2 x 2 x 5 x 19
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, 814) = 7326
GCD(333, 814) = ( 333 x 814 ) / 7326
GCD(333, 814) = 271062 / 7326
GCD(333, 814) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 380) = 14060
GCD(37, 380) = ( 37 x 380 ) / 14060
GCD(37, 380) = 14060 / 14060
GCD(37, 380) = 1
GCD of 333, 814, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 814, 380?
GCD of 333, 814, 380 is 1
2. Where do I get the detailed procedure to find GCD of 333, 814, 380?
You can find a detailed procedure to find GCD of 333, 814, 380 on our page.
3. How to find GCD of 333, 814, 380 on a calculator?
You can find the GCD of 333, 814, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.