GCD of 864, 450, 449 Calculator
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 864, 450, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 450, 449 is 1
GCD(864, 450, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 450, 449 is 1
GCD(864, 450, 449) = 1
GCDof 864,450,449 is 1
Given Input numbers are 864, 450, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 864, 450, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 450, 449 is 1.
Therefore, GCD of numbers 864, 450, 449 is 1
Given Input Data is 864, 450, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 449 is 449
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 864, 450, 449 using LCM Formula
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(864, 450) = 21600
GCD(864, 450) = ( 864 x 450 ) / 21600
GCD(864, 450) = 388800 / 21600
GCD(864, 450) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 449) = 8082
GCD(18, 449) = ( 18 x 449 ) / 8082
GCD(18, 449) = 8082 / 8082
GCD(18, 449) = 1
GCD of 864, 450, 449 is 1
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FAQs on GCD of numbers 864, 450, 449
1. What is the GCD of 864, 450, 449?
GCD of 864, 450, 449 is 1
2. Where do I get the detailed procedure to find GCD of 864, 450, 449?
You can find a detailed procedure to find GCD of 864, 450, 449 on our page.
3. How to find GCD of 864, 450, 449 on a calculator?
You can find the GCD of 864, 450, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.