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 309, 273, 476, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 273, 476, 809 is 1
GCD(309, 273, 476, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 273, 476, 809 is 1
GCD(309, 273, 476, 809) = 1
Given Input numbers are 309, 273, 476, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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 309, 273, 476, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 273, 476, 809 is 1.
Therefore, GCD of numbers 309, 273, 476, 809 is 1
Given Input Data is 309, 273, 476, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(309, 273) = 28119
GCD(309, 273) = ( 309 x 273 ) / 28119
GCD(309, 273) = 84357 / 28119
GCD(309, 273) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 476) = 1428
GCD(3, 476) = ( 3 x 476 ) / 1428
GCD(3, 476) = 1428 / 1428
GCD(3, 476) = 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 309, 273, 476, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 273, 476, 809?
GCD of 309, 273, 476, 809 is 1
2. Where do I get the detailed procedure to find GCD of 309, 273, 476, 809?
You can find a detailed procedure to find GCD of 309, 273, 476, 809 on our page.
3. How to find GCD of 309, 273, 476, 809 on a calculator?
You can find the GCD of 309, 273, 476, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.