GCD of 23, 7, 89, 11 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, 7, 89, 11 i.e. 1 largest integer that divides all the numbers equally.

GCD of 23, 7, 89, 11 is 1

GCD(23, 7, 89, 11) = 1

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

GCD of

GCD of numbers 23, 7, 89, 11 is 1

GCD(23, 7, 89, 11) = 1

GCD of 23,7,89,11 Calculator

GCDof 23,7,89,11 is 1

Given Input numbers are 23, 7, 89, 11

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 7

List of positive integer divisors of 7 that divides 7 without a remainder.

1, 7

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Greatest Common Divisior

We found the divisors of 23, 7, 89, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 7, 89, 11 is 1.

Therefore, GCD of numbers 23, 7, 89, 11 is 1

Finding GCD of 23, 7, 89, 11 using Prime Factorization

Given Input Data is 23, 7, 89, 11

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

Prime Factorization of 23 is 23

Prime Factorization of 7 is 7

Prime Factorization of 89 is 89

Prime Factorization of 11 is 11

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

Finding GCD of 23, 7, 89, 11 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, 7) = 161

GCD(23, 7) = ( 23 x 7 ) / 161

GCD(23, 7) = 161 / 161

GCD(23, 7) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

GCD of 23, 7, 89, 11 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 23, 7, 89, 11

1. What is the GCD of 23, 7, 89, 11?

GCD of 23, 7, 89, 11 is 1


2. Where do I get the detailed procedure to find GCD of 23, 7, 89, 11?

You can find a detailed procedure to find GCD of 23, 7, 89, 11 on our page.


3. How to find GCD of 23, 7, 89, 11 on a calculator?

You can find the GCD of 23, 7, 89, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.