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, 825, 66, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 825, 66, 778 is 1
GCD(333, 825, 66, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 825, 66, 778 is 1
GCD(333, 825, 66, 778) = 1
Given Input numbers are 333, 825, 66, 778
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 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 333, 825, 66, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 825, 66, 778 is 1.
Therefore, GCD of numbers 333, 825, 66, 778 is 1
Given Input Data is 333, 825, 66, 778
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 825 is 3 x 5 x 5 x 11
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 778 is 2 x 389
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, 825) = 91575
GCD(333, 825) = ( 333 x 825 ) / 91575
GCD(333, 825) = 274725 / 91575
GCD(333, 825) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 778) = 2334
GCD(3, 778) = ( 3 x 778 ) / 2334
GCD(3, 778) = 2334 / 2334
GCD(3, 778) = 1
GCD of 333, 825, 66, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 825, 66, 778?
GCD of 333, 825, 66, 778 is 1
2. Where do I get the detailed procedure to find GCD of 333, 825, 66, 778?
You can find a detailed procedure to find GCD of 333, 825, 66, 778 on our page.
3. How to find GCD of 333, 825, 66, 778 on a calculator?
You can find the GCD of 333, 825, 66, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.