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 809, 745, 344, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 745, 344, 487 is 1
GCD(809, 745, 344, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 745, 344, 487 is 1
GCD(809, 745, 344, 487) = 1
Given Input numbers are 809, 745, 344, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 809, 745, 344, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 745, 344, 487 is 1.
Therefore, GCD of numbers 809, 745, 344, 487 is 1
Given Input Data is 809, 745, 344, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 745 is 5 x 149
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 487 is 487
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(809, 745) = 602705
GCD(809, 745) = ( 809 x 745 ) / 602705
GCD(809, 745) = 602705 / 602705
GCD(809, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 344) = 344
GCD(1, 344) = ( 1 x 344 ) / 344
GCD(1, 344) = 344 / 344
GCD(1, 344) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 809, 745, 344, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 745, 344, 487?
GCD of 809, 745, 344, 487 is 1
2. Where do I get the detailed procedure to find GCD of 809, 745, 344, 487?
You can find a detailed procedure to find GCD of 809, 745, 344, 487 on our page.
3. How to find GCD of 809, 745, 344, 487 on a calculator?
You can find the GCD of 809, 745, 344, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.