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, 344, 63, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 344, 63, 133 is 1
GCD(404, 344, 63, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 344, 63, 133 is 1
GCD(404, 344, 63, 133) = 1
Given Input numbers are 404, 344, 63, 133
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 404, 344, 63, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 344, 63, 133 is 1.
Therefore, GCD of numbers 404, 344, 63, 133 is 1
Given Input Data is 404, 344, 63, 133
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 133 is 7 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, 344) = 34744
GCD(404, 344) = ( 404 x 344 ) / 34744
GCD(404, 344) = 138976 / 34744
GCD(404, 344) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 404, 344, 63, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 344, 63, 133?
GCD of 404, 344, 63, 133 is 1
2. Where do I get the detailed procedure to find GCD of 404, 344, 63, 133?
You can find a detailed procedure to find GCD of 404, 344, 63, 133 on our page.
3. How to find GCD of 404, 344, 63, 133 on a calculator?
You can find the GCD of 404, 344, 63, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.