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 813, 238, 74, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 238, 74, 273 is 1
GCD(813, 238, 74, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 238, 74, 273 is 1
GCD(813, 238, 74, 273) = 1
Given Input numbers are 813, 238, 74, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
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 813, 238, 74, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 238, 74, 273 is 1.
Therefore, GCD of numbers 813, 238, 74, 273 is 1
Given Input Data is 813, 238, 74, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 74 is 2 x 37
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(813, 238) = 193494
GCD(813, 238) = ( 813 x 238 ) / 193494
GCD(813, 238) = 193494 / 193494
GCD(813, 238) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
GCD of 813, 238, 74, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 238, 74, 273?
GCD of 813, 238, 74, 273 is 1
2. Where do I get the detailed procedure to find GCD of 813, 238, 74, 273?
You can find a detailed procedure to find GCD of 813, 238, 74, 273 on our page.
3. How to find GCD of 813, 238, 74, 273 on a calculator?
You can find the GCD of 813, 238, 74, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.