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 804, 344, 30, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 344, 30, 273 is 1
GCD(804, 344, 30, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 344, 30, 273 is 1
GCD(804, 344, 30, 273) = 1
Given Input numbers are 804, 344, 30, 273
To find the GCD of numbers using factoring list out all the divisors of each number
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
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 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 804, 344, 30, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 344, 30, 273 is 1.
Therefore, GCD of numbers 804, 344, 30, 273 is 1
Given Input Data is 804, 344, 30, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 273 is 3 x 7 x 13
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(804, 344) = 69144
GCD(804, 344) = ( 804 x 344 ) / 69144
GCD(804, 344) = 276576 / 69144
GCD(804, 344) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 30) = 60
GCD(4, 30) = ( 4 x 30 ) / 60
GCD(4, 30) = 120 / 60
GCD(4, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
GCD of 804, 344, 30, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 344, 30, 273?
GCD of 804, 344, 30, 273 is 1
2. Where do I get the detailed procedure to find GCD of 804, 344, 30, 273?
You can find a detailed procedure to find GCD of 804, 344, 30, 273 on our page.
3. How to find GCD of 804, 344, 30, 273 on a calculator?
You can find the GCD of 804, 344, 30, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.