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, 820, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 820, 780 is 1
GCD(333, 820, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 820, 780 is 1
GCD(333, 820, 780) = 1
Given Input numbers are 333, 820, 780
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 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 333, 820, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 820, 780 is 1.
Therefore, GCD of numbers 333, 820, 780 is 1
Given Input Data is 333, 820, 780
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 820 is 2 x 2 x 5 x 41
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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, 820) = 273060
GCD(333, 820) = ( 333 x 820 ) / 273060
GCD(333, 820) = 273060 / 273060
GCD(333, 820) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 333, 820, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 820, 780?
GCD of 333, 820, 780 is 1
2. Where do I get the detailed procedure to find GCD of 333, 820, 780?
You can find a detailed procedure to find GCD of 333, 820, 780 on our page.
3. How to find GCD of 333, 820, 780 on a calculator?
You can find the GCD of 333, 820, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.