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 367, 487, 296, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 487, 296, 809 is 1
GCD(367, 487, 296, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 487, 296, 809 is 1
GCD(367, 487, 296, 809) = 1
Given Input numbers are 367, 487, 296, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 367, 487, 296, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 487, 296, 809 is 1.
Therefore, GCD of numbers 367, 487, 296, 809 is 1
Given Input Data is 367, 487, 296, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 487 is 487
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 809 is 809
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(367, 487) = 178729
GCD(367, 487) = ( 367 x 487 ) / 178729
GCD(367, 487) = 178729 / 178729
GCD(367, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 367, 487, 296, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 487, 296, 809?
GCD of 367, 487, 296, 809 is 1
2. Where do I get the detailed procedure to find GCD of 367, 487, 296, 809?
You can find a detailed procedure to find GCD of 367, 487, 296, 809 on our page.
3. How to find GCD of 367, 487, 296, 809 on a calculator?
You can find the GCD of 367, 487, 296, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.