GCD of 23, 984, 969, 234 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 23, 984, 969, 234 i.e. 1 largest integer that divides all the numbers equally.

GCD of 23, 984, 969, 234 is 1

GCD(23, 984, 969, 234) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 23, 984, 969, 234 is 1

GCD(23, 984, 969, 234) = 1

GCD of 23,984,969,234 Calculator

GCDof 23,984,969,234 is 1

Given Input numbers are 23, 984, 969, 234

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 23, 984, 969, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 984, 969, 234 is 1.

Therefore, GCD of numbers 23, 984, 969, 234 is 1

Finding GCD of 23, 984, 969, 234 using Prime Factorization

Given Input Data is 23, 984, 969, 234

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 23 is 23

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 234 is 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 23, 984, 969, 234 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(23, 984) = 22632

GCD(23, 984) = ( 23 x 984 ) / 22632

GCD(23, 984) = 22632 / 22632

GCD(23, 984) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 23, 984, 969, 234 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 23, 984, 969, 234

1. What is the GCD of 23, 984, 969, 234?

GCD of 23, 984, 969, 234 is 1


2. Where do I get the detailed procedure to find GCD of 23, 984, 969, 234?

You can find a detailed procedure to find GCD of 23, 984, 969, 234 on our page.


3. How to find GCD of 23, 984, 969, 234 on a calculator?

You can find the GCD of 23, 984, 969, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.