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 668, 873, 324, 174 i.e. 1 largest integer that divides all the numbers equally.
GCD of 668, 873, 324, 174 is 1
GCD(668, 873, 324, 174) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 668, 873, 324, 174 is 1
GCD(668, 873, 324, 174) = 1
Given Input numbers are 668, 873, 324, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 668, 873, 324, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 873, 324, 174 is 1.
Therefore, GCD of numbers 668, 873, 324, 174 is 1
Given Input Data is 668, 873, 324, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 174 is 2 x 3 x 29
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(668, 873) = 583164
GCD(668, 873) = ( 668 x 873 ) / 583164
GCD(668, 873) = 583164 / 583164
GCD(668, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
GCD of 668, 873, 324, 174 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 668, 873, 324, 174?
GCD of 668, 873, 324, 174 is 1
2. Where do I get the detailed procedure to find GCD of 668, 873, 324, 174?
You can find a detailed procedure to find GCD of 668, 873, 324, 174 on our page.
3. How to find GCD of 668, 873, 324, 174 on a calculator?
You can find the GCD of 668, 873, 324, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.