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 173, 163, 14 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 163, 14 is 1
GCD(173, 163, 14) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 163, 14 is 1
GCD(173, 163, 14) = 1
Given Input numbers are 173, 163, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Greatest Common Divisior
We found the divisors of 173, 163, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 163, 14 is 1.
Therefore, GCD of numbers 173, 163, 14 is 1
Given Input Data is 173, 163, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 163 is 163
Prime Factorization of 14 is 2 x 7
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(173, 163) = 28199
GCD(173, 163) = ( 173 x 163 ) / 28199
GCD(173, 163) = 28199 / 28199
GCD(173, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
GCD of 173, 163, 14 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 163, 14?
GCD of 173, 163, 14 is 1
2. Where do I get the detailed procedure to find GCD of 173, 163, 14?
You can find a detailed procedure to find GCD of 173, 163, 14 on our page.
3. How to find GCD of 173, 163, 14 on a calculator?
You can find the GCD of 173, 163, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.