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 404, 852, 229, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 852, 229, 494 is 1
GCD(404, 852, 229, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 852, 229, 494 is 1
GCD(404, 852, 229, 494) = 1
Given Input numbers are 404, 852, 229, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 404, 852, 229, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 852, 229, 494 is 1.
Therefore, GCD of numbers 404, 852, 229, 494 is 1
Given Input Data is 404, 852, 229, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 229 is 229
Prime Factorization of 494 is 2 x 13 x 19
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(404, 852) = 86052
GCD(404, 852) = ( 404 x 852 ) / 86052
GCD(404, 852) = 344208 / 86052
GCD(404, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 229) = 916
GCD(4, 229) = ( 4 x 229 ) / 916
GCD(4, 229) = 916 / 916
GCD(4, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 404, 852, 229, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 852, 229, 494?
GCD of 404, 852, 229, 494 is 1
2. Where do I get the detailed procedure to find GCD of 404, 852, 229, 494?
You can find a detailed procedure to find GCD of 404, 852, 229, 494 on our page.
3. How to find GCD of 404, 852, 229, 494 on a calculator?
You can find the GCD of 404, 852, 229, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.