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 450, 384, 789 i.e. 3 largest integer that divides all the numbers equally.
GCD of 450, 384, 789 is 3
GCD(450, 384, 789) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 384, 789 is 3
GCD(450, 384, 789) = 3
Given Input numbers are 450, 384, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 450, 384, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 384, 789 is 3.
Therefore, GCD of numbers 450, 384, 789 is 3
Given Input Data is 450, 384, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 789 is 3 x 263
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(450, 384) = 28800
GCD(450, 384) = ( 450 x 384 ) / 28800
GCD(450, 384) = 172800 / 28800
GCD(450, 384) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 789) = 1578
GCD(6, 789) = ( 6 x 789 ) / 1578
GCD(6, 789) = 4734 / 1578
GCD(6, 789) = 3
GCD of 450, 384, 789 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 384, 789?
GCD of 450, 384, 789 is 3
2. Where do I get the detailed procedure to find GCD of 450, 384, 789?
You can find a detailed procedure to find GCD of 450, 384, 789 on our page.
3. How to find GCD of 450, 384, 789 on a calculator?
You can find the GCD of 450, 384, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.