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, 428, 823, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 428, 823, 388 is 1
GCD(488, 428, 823, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 428, 823, 388 is 1
GCD(488, 428, 823, 388) = 1
Given Input numbers are 488, 428, 823, 388
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 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 488, 428, 823, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 428, 823, 388 is 1.
Therefore, GCD of numbers 488, 428, 823, 388 is 1
Given Input Data is 488, 428, 823, 388
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 428 is 2 x 2 x 107
Prime Factorization of 823 is 823
Prime Factorization of 388 is 2 x 2 x 97
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, 428) = 52216
GCD(488, 428) = ( 488 x 428 ) / 52216
GCD(488, 428) = 208864 / 52216
GCD(488, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 823) = 3292
GCD(4, 823) = ( 4 x 823 ) / 3292
GCD(4, 823) = 3292 / 3292
GCD(4, 823) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 488, 428, 823, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 428, 823, 388?
GCD of 488, 428, 823, 388 is 1
2. Where do I get the detailed procedure to find GCD of 488, 428, 823, 388?
You can find a detailed procedure to find GCD of 488, 428, 823, 388 on our page.
3. How to find GCD of 488, 428, 823, 388 on a calculator?
You can find the GCD of 488, 428, 823, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.