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 488, 904, 19, 443 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 904, 19, 443 is 1
GCD(488, 904, 19, 443) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 904, 19, 443 is 1
GCD(488, 904, 19, 443) = 1
Given Input numbers are 488, 904, 19, 443
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Greatest Common Divisior
We found the divisors of 488, 904, 19, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 904, 19, 443 is 1.
Therefore, GCD of numbers 488, 904, 19, 443 is 1
Given Input Data is 488, 904, 19, 443
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 19 is 19
Prime Factorization of 443 is 443
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(488, 904) = 55144
GCD(488, 904) = ( 488 x 904 ) / 55144
GCD(488, 904) = 441152 / 55144
GCD(488, 904) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 19) = 152
GCD(8, 19) = ( 8 x 19 ) / 152
GCD(8, 19) = 152 / 152
GCD(8, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 443
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 443) = 443
GCD(1, 443) = ( 1 x 443 ) / 443
GCD(1, 443) = 443 / 443
GCD(1, 443) = 1
GCD of 488, 904, 19, 443 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 904, 19, 443?
GCD of 488, 904, 19, 443 is 1
2. Where do I get the detailed procedure to find GCD of 488, 904, 19, 443?
You can find a detailed procedure to find GCD of 488, 904, 19, 443 on our page.
3. How to find GCD of 488, 904, 19, 443 on a calculator?
You can find the GCD of 488, 904, 19, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.