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 409, 875, 18, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 409, 875, 18, 422 is 1
GCD(409, 875, 18, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 409, 875, 18, 422 is 1
GCD(409, 875, 18, 422) = 1
Given Input numbers are 409, 875, 18, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 409, 875, 18, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 875, 18, 422 is 1.
Therefore, GCD of numbers 409, 875, 18, 422 is 1
Given Input Data is 409, 875, 18, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 409 is 409
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 422 is 2 x 211
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(409, 875) = 357875
GCD(409, 875) = ( 409 x 875 ) / 357875
GCD(409, 875) = 357875 / 357875
GCD(409, 875) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 409, 875, 18, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 409, 875, 18, 422?
GCD of 409, 875, 18, 422 is 1
2. Where do I get the detailed procedure to find GCD of 409, 875, 18, 422?
You can find a detailed procedure to find GCD of 409, 875, 18, 422 on our page.
3. How to find GCD of 409, 875, 18, 422 on a calculator?
You can find the GCD of 409, 875, 18, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.