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 50, 404, 171, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 404, 171, 366 is 1
GCD(50, 404, 171, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 404, 171, 366 is 1
GCD(50, 404, 171, 366) = 1
Given Input numbers are 50, 404, 171, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 50, 404, 171, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 404, 171, 366 is 1.
Therefore, GCD of numbers 50, 404, 171, 366 is 1
Given Input Data is 50, 404, 171, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 366 is 2 x 3 x 61
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(50, 404) = 10100
GCD(50, 404) = ( 50 x 404 ) / 10100
GCD(50, 404) = 20200 / 10100
GCD(50, 404) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 171) = 342
GCD(2, 171) = ( 2 x 171 ) / 342
GCD(2, 171) = 342 / 342
GCD(2, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 50, 404, 171, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 404, 171, 366?
GCD of 50, 404, 171, 366 is 1
2. Where do I get the detailed procedure to find GCD of 50, 404, 171, 366?
You can find a detailed procedure to find GCD of 50, 404, 171, 366 on our page.
3. How to find GCD of 50, 404, 171, 366 on a calculator?
You can find the GCD of 50, 404, 171, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.