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 384, 946, 66, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 946, 66, 333 is 1
GCD(384, 946, 66, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 946, 66, 333 is 1
GCD(384, 946, 66, 333) = 1
Given Input numbers are 384, 946, 66, 333
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
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 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Greatest Common Divisior
We found the divisors of 384, 946, 66, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 946, 66, 333 is 1.
Therefore, GCD of numbers 384, 946, 66, 333 is 1
Given Input Data is 384, 946, 66, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 333 is 3 x 3 x 37
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(384, 946) = 181632
GCD(384, 946) = ( 384 x 946 ) / 181632
GCD(384, 946) = 363264 / 181632
GCD(384, 946) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 333) = 666
GCD(2, 333) = ( 2 x 333 ) / 666
GCD(2, 333) = 666 / 666
GCD(2, 333) = 1
GCD of 384, 946, 66, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 946, 66, 333?
GCD of 384, 946, 66, 333 is 1
2. Where do I get the detailed procedure to find GCD of 384, 946, 66, 333?
You can find a detailed procedure to find GCD of 384, 946, 66, 333 on our page.
3. How to find GCD of 384, 946, 66, 333 on a calculator?
You can find the GCD of 384, 946, 66, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.