GCD of 23, 15, 65 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, 15, 65 i.e. 1 largest integer that divides all the numbers equally.

GCD of 23, 15, 65 is 1

GCD(23, 15, 65) = 1

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

GCD of

GCD of numbers 23, 15, 65 is 1

GCD(23, 15, 65) = 1

GCD of 23,15,65 Calculator

GCDof 23,15,65 is 1

Given Input numbers are 23, 15, 65

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 23, 15, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 15, 65 is 1.

Therefore, GCD of numbers 23, 15, 65 is 1

Finding GCD of 23, 15, 65 using Prime Factorization

Given Input Data is 23, 15, 65

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

Prime Factorization of 23 is 23

Prime Factorization of 15 is 3 x 5

Prime Factorization of 65 is 5 x 13

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

Finding GCD of 23, 15, 65 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, 15) = 345

GCD(23, 15) = ( 23 x 15 ) / 345

GCD(23, 15) = 345 / 345

GCD(23, 15) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 23, 15, 65 is 1

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FAQs on GCD of numbers 23, 15, 65

1. What is the GCD of 23, 15, 65?

GCD of 23, 15, 65 is 1


2. Where do I get the detailed procedure to find GCD of 23, 15, 65?

You can find a detailed procedure to find GCD of 23, 15, 65 on our page.


3. How to find GCD of 23, 15, 65 on a calculator?

You can find the GCD of 23, 15, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.