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 308, 115, 178, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 115, 178, 173 is 1
GCD(308, 115, 178, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 115, 178, 173 is 1
GCD(308, 115, 178, 173) = 1
Given Input numbers are 308, 115, 178, 173
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 308, 115, 178, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 115, 178, 173 is 1.
Therefore, GCD of numbers 308, 115, 178, 173 is 1
Given Input Data is 308, 115, 178, 173
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 115 is 5 x 23
Prime Factorization of 178 is 2 x 89
Prime Factorization of 173 is 173
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(308, 115) = 35420
GCD(308, 115) = ( 308 x 115 ) / 35420
GCD(308, 115) = 35420 / 35420
GCD(308, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
GCD of 308, 115, 178, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 115, 178, 173?
GCD of 308, 115, 178, 173 is 1
2. Where do I get the detailed procedure to find GCD of 308, 115, 178, 173?
You can find a detailed procedure to find GCD of 308, 115, 178, 173 on our page.
3. How to find GCD of 308, 115, 178, 173 on a calculator?
You can find the GCD of 308, 115, 178, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.