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 412, 450, 389, 886 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 450, 389, 886 is 1
GCD(412, 450, 389, 886) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 450, 389, 886 is 1
GCD(412, 450, 389, 886) = 1
Given Input numbers are 412, 450, 389, 886
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
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 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Greatest Common Divisior
We found the divisors of 412, 450, 389, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 450, 389, 886 is 1.
Therefore, GCD of numbers 412, 450, 389, 886 is 1
Given Input Data is 412, 450, 389, 886
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 389 is 389
Prime Factorization of 886 is 2 x 443
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(412, 450) = 92700
GCD(412, 450) = ( 412 x 450 ) / 92700
GCD(412, 450) = 185400 / 92700
GCD(412, 450) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 886) = 886
GCD(1, 886) = ( 1 x 886 ) / 886
GCD(1, 886) = 886 / 886
GCD(1, 886) = 1
GCD of 412, 450, 389, 886 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 450, 389, 886?
GCD of 412, 450, 389, 886 is 1
2. Where do I get the detailed procedure to find GCD of 412, 450, 389, 886?
You can find a detailed procedure to find GCD of 412, 450, 389, 886 on our page.
3. How to find GCD of 412, 450, 389, 886 on a calculator?
You can find the GCD of 412, 450, 389, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.