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 287, 123, 47, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 123, 47, 605 is 1
GCD(287, 123, 47, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 123, 47, 605 is 1
GCD(287, 123, 47, 605) = 1
Given Input numbers are 287, 123, 47, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 287, 123, 47, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 123, 47, 605 is 1.
Therefore, GCD of numbers 287, 123, 47, 605 is 1
Given Input Data is 287, 123, 47, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 123 is 3 x 41
Prime Factorization of 47 is 47
Prime Factorization of 605 is 5 x 11 x 11
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(287, 123) = 861
GCD(287, 123) = ( 287 x 123 ) / 861
GCD(287, 123) = 35301 / 861
GCD(287, 123) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 47) = 1927
GCD(41, 47) = ( 41 x 47 ) / 1927
GCD(41, 47) = 1927 / 1927
GCD(41, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 287, 123, 47, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 123, 47, 605?
GCD of 287, 123, 47, 605 is 1
2. Where do I get the detailed procedure to find GCD of 287, 123, 47, 605?
You can find a detailed procedure to find GCD of 287, 123, 47, 605 on our page.
3. How to find GCD of 287, 123, 47, 605 on a calculator?
You can find the GCD of 287, 123, 47, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.