GCD of 990, 128, 23 Calculator

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

GCD of numbers 990, 128, 23 is 1

GCD(990, 128, 23) = 1

GCD of 990,128,23 Calculator

GCDof 990,128,23 is 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

Finding GCD of 990, 128, 23 using Prime Factorization

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

Finding GCD of 990, 128, 23 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 990, 128, 23

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.