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, 817, 329, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 817, 329, 169 is 1
GCD(50, 817, 329, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 817, 329, 169 is 1
GCD(50, 817, 329, 169) = 1
Given Input numbers are 50, 817, 329, 169
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 50, 817, 329, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 817, 329, 169 is 1.
Therefore, GCD of numbers 50, 817, 329, 169 is 1
Given Input Data is 50, 817, 329, 169
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 817 is 19 x 43
Prime Factorization of 329 is 7 x 47
Prime Factorization of 169 is 13 x 13
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, 817) = 40850
GCD(50, 817) = ( 50 x 817 ) / 40850
GCD(50, 817) = 40850 / 40850
GCD(50, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 50, 817, 329, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 817, 329, 169?
GCD of 50, 817, 329, 169 is 1
2. Where do I get the detailed procedure to find GCD of 50, 817, 329, 169?
You can find a detailed procedure to find GCD of 50, 817, 329, 169 on our page.
3. How to find GCD of 50, 817, 329, 169 on a calculator?
You can find the GCD of 50, 817, 329, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.