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 230, 174, 38, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 174, 38, 195 is 1
GCD(230, 174, 38, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 174, 38, 195 is 1
GCD(230, 174, 38, 195) = 1
Given Input numbers are 230, 174, 38, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 230, 174, 38, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 174, 38, 195 is 1.
Therefore, GCD of numbers 230, 174, 38, 195 is 1
Given Input Data is 230, 174, 38, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 38 is 2 x 19
Prime Factorization of 195 is 3 x 5 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(230, 174) = 20010
GCD(230, 174) = ( 230 x 174 ) / 20010
GCD(230, 174) = 40020 / 20010
GCD(230, 174) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
GCD(2, 38) = 76 / 38
GCD(2, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
GCD(2, 195) = 390 / 390
GCD(2, 195) = 1
GCD of 230, 174, 38, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 174, 38, 195?
GCD of 230, 174, 38, 195 is 1
2. Where do I get the detailed procedure to find GCD of 230, 174, 38, 195?
You can find a detailed procedure to find GCD of 230, 174, 38, 195 on our page.
3. How to find GCD of 230, 174, 38, 195 on a calculator?
You can find the GCD of 230, 174, 38, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.