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, 84, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 814, 84, 730 is 1
GCD(333, 814, 84, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 814, 84, 730 is 1
GCD(333, 814, 84, 730) = 1
Given Input numbers are 333, 814, 84, 730
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 333, 814, 84, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 814, 84, 730 is 1.
Therefore, GCD of numbers 333, 814, 84, 730 is 1
Given Input Data is 333, 814, 84, 730
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 84 is 2 x 2 x 3 x 7
Prime Factorization of 730 is 2 x 5 x 73
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 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 84) = 3108
GCD(37, 84) = ( 37 x 84 ) / 3108
GCD(37, 84) = 3108 / 3108
GCD(37, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 333, 814, 84, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 814, 84, 730?
GCD of 333, 814, 84, 730 is 1
2. Where do I get the detailed procedure to find GCD of 333, 814, 84, 730?
You can find a detailed procedure to find GCD of 333, 814, 84, 730 on our page.
3. How to find GCD of 333, 814, 84, 730 on a calculator?
You can find the GCD of 333, 814, 84, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.