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 190, 381, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 381, 75 is 1
GCD(190, 381, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 381, 75 is 1
GCD(190, 381, 75) = 1
Given Input numbers are 190, 381, 75
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 190, 381, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 381, 75 is 1.
Therefore, GCD of numbers 190, 381, 75 is 1
Given Input Data is 190, 381, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 381 is 3 x 127
Prime Factorization of 75 is 3 x 5 x 5
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(190, 381) = 72390
GCD(190, 381) = ( 190 x 381 ) / 72390
GCD(190, 381) = 72390 / 72390
GCD(190, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
GCD of 190, 381, 75 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 381, 75?
GCD of 190, 381, 75 is 1
2. Where do I get the detailed procedure to find GCD of 190, 381, 75?
You can find a detailed procedure to find GCD of 190, 381, 75 on our page.
3. How to find GCD of 190, 381, 75 on a calculator?
You can find the GCD of 190, 381, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.