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, 273, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 273, 433 is 1
GCD(384, 273, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 273, 433 is 1
GCD(384, 273, 433) = 1
Given Input numbers are 384, 273, 433
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 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 384, 273, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 273, 433 is 1.
Therefore, GCD of numbers 384, 273, 433 is 1
Given Input Data is 384, 273, 433
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 273 is 3 x 7 x 13
Prime Factorization of 433 is 433
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, 273) = 34944
GCD(384, 273) = ( 384 x 273 ) / 34944
GCD(384, 273) = 104832 / 34944
GCD(384, 273) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 433) = 1299
GCD(3, 433) = ( 3 x 433 ) / 1299
GCD(3, 433) = 1299 / 1299
GCD(3, 433) = 1
GCD of 384, 273, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 273, 433?
GCD of 384, 273, 433 is 1
2. Where do I get the detailed procedure to find GCD of 384, 273, 433?
You can find a detailed procedure to find GCD of 384, 273, 433 on our page.
3. How to find GCD of 384, 273, 433 on a calculator?
You can find the GCD of 384, 273, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.