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, 430, 49, 804 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 430, 49, 804 is 1
GCD(809, 430, 49, 804) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 430, 49, 804 is 1
GCD(809, 430, 49, 804) = 1
Given Input numbers are 809, 430, 49, 804
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 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Greatest Common Divisior
We found the divisors of 809, 430, 49, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 430, 49, 804 is 1.
Therefore, GCD of numbers 809, 430, 49, 804 is 1
Given Input Data is 809, 430, 49, 804
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 49 is 7 x 7
Prime Factorization of 804 is 2 x 2 x 3 x 67
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, 430) = 347870
GCD(809, 430) = ( 809 x 430 ) / 347870
GCD(809, 430) = 347870 / 347870
GCD(809, 430) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 804) = 804
GCD(1, 804) = ( 1 x 804 ) / 804
GCD(1, 804) = 804 / 804
GCD(1, 804) = 1
GCD of 809, 430, 49, 804 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 430, 49, 804?
GCD of 809, 430, 49, 804 is 1
2. Where do I get the detailed procedure to find GCD of 809, 430, 49, 804?
You can find a detailed procedure to find GCD of 809, 430, 49, 804 on our page.
3. How to find GCD of 809, 430, 49, 804 on a calculator?
You can find the GCD of 809, 430, 49, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.