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 818, 229, 270, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 818, 229, 270, 296 is 1
GCD(818, 229, 270, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 229, 270, 296 is 1
GCD(818, 229, 270, 296) = 1
Given Input numbers are 818, 229, 270, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 818, 229, 270, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 229, 270, 296 is 1.
Therefore, GCD of numbers 818, 229, 270, 296 is 1
Given Input Data is 818, 229, 270, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 229 is 229
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(818, 229) = 187322
GCD(818, 229) = ( 818 x 229 ) / 187322
GCD(818, 229) = 187322 / 187322
GCD(818, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 818, 229, 270, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 229, 270, 296?
GCD of 818, 229, 270, 296 is 1
2. Where do I get the detailed procedure to find GCD of 818, 229, 270, 296?
You can find a detailed procedure to find GCD of 818, 229, 270, 296 on our page.
3. How to find GCD of 818, 229, 270, 296 on a calculator?
You can find the GCD of 818, 229, 270, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.