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 307, 231, 19 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 231, 19 is 1
GCD(307, 231, 19) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 231, 19 is 1
GCD(307, 231, 19) = 1
Given Input numbers are 307, 231, 19
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Greatest Common Divisior
We found the divisors of 307, 231, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 231, 19 is 1.
Therefore, GCD of numbers 307, 231, 19 is 1
Given Input Data is 307, 231, 19
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 19 is 19
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(307, 231) = 70917
GCD(307, 231) = ( 307 x 231 ) / 70917
GCD(307, 231) = 70917 / 70917
GCD(307, 231) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
GCD of 307, 231, 19 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 231, 19?
GCD of 307, 231, 19 is 1
2. Where do I get the detailed procedure to find GCD of 307, 231, 19?
You can find a detailed procedure to find GCD of 307, 231, 19 on our page.
3. How to find GCD of 307, 231, 19 on a calculator?
You can find the GCD of 307, 231, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.