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 990, 128, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 128, 23 is 1
GCD(990, 128, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 128, 23 is 1
GCD(990, 128, 23) = 1
Given Input numbers are 990, 128, 23
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Greatest Common Divisior
We found the divisors of 990, 128, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 128, 23 is 1.
Therefore, GCD of numbers 990, 128, 23 is 1
Given Input Data is 990, 128, 23
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 23 is 23
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(990, 128) = 63360
GCD(990, 128) = ( 990 x 128 ) / 63360
GCD(990, 128) = 126720 / 63360
GCD(990, 128) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
GCD of 990, 128, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 128, 23?
GCD of 990, 128, 23 is 1
2. Where do I get the detailed procedure to find GCD of 990, 128, 23?
You can find a detailed procedure to find GCD of 990, 128, 23 on our page.
3. How to find GCD of 990, 128, 23 on a calculator?
You can find the GCD of 990, 128, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.