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 489, 748, 244, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 748, 244, 455 is 1
GCD(489, 748, 244, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 748, 244, 455 is 1
GCD(489, 748, 244, 455) = 1
Given Input numbers are 489, 748, 244, 455
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 489, 748, 244, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 748, 244, 455 is 1.
Therefore, GCD of numbers 489, 748, 244, 455 is 1
Given Input Data is 489, 748, 244, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 455 is 5 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(489, 748) = 365772
GCD(489, 748) = ( 489 x 748 ) / 365772
GCD(489, 748) = 365772 / 365772
GCD(489, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 244) = 244
GCD(1, 244) = ( 1 x 244 ) / 244
GCD(1, 244) = 244 / 244
GCD(1, 244) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 455) = 455
GCD(1, 455) = ( 1 x 455 ) / 455
GCD(1, 455) = 455 / 455
GCD(1, 455) = 1
GCD of 489, 748, 244, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 748, 244, 455?
GCD of 489, 748, 244, 455 is 1
2. Where do I get the detailed procedure to find GCD of 489, 748, 244, 455?
You can find a detailed procedure to find GCD of 489, 748, 244, 455 on our page.
3. How to find GCD of 489, 748, 244, 455 on a calculator?
You can find the GCD of 489, 748, 244, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.