GCD of 23, 713, 660, 832 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, 713, 660, 832 i.e. 1 largest integer that divides all the numbers equally.

GCD of 23, 713, 660, 832 is 1

GCD(23, 713, 660, 832) = 1

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

GCD of

GCD of numbers 23, 713, 660, 832 is 1

GCD(23, 713, 660, 832) = 1

GCD of 23,713,660,832 Calculator

GCDof 23,713,660,832 is 1

Given Input numbers are 23, 713, 660, 832

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 23, 713, 660, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 713, 660, 832 is 1.

Therefore, GCD of numbers 23, 713, 660, 832 is 1

Finding GCD of 23, 713, 660, 832 using Prime Factorization

Given Input Data is 23, 713, 660, 832

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

Prime Factorization of 23 is 23

Prime Factorization of 713 is 23 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Finding GCD of 23, 713, 660, 832 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, 713) = 713

GCD(23, 713) = ( 23 x 713 ) / 713

GCD(23, 713) = 16399 / 713

GCD(23, 713) = 23


Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 660

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

LCM(23, 660) = 15180

GCD(23, 660) = ( 23 x 660 ) / 15180

GCD(23, 660) = 15180 / 15180

GCD(23, 660) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 23, 713, 660, 832 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 23, 713, 660, 832

1. What is the GCD of 23, 713, 660, 832?

GCD of 23, 713, 660, 832 is 1


2. Where do I get the detailed procedure to find GCD of 23, 713, 660, 832?

You can find a detailed procedure to find GCD of 23, 713, 660, 832 on our page.


3. How to find GCD of 23, 713, 660, 832 on a calculator?

You can find the GCD of 23, 713, 660, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.