GCD of 32, 713, 823, 172 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 32, 713, 823, 172 i.e. 1 largest integer that divides all the numbers equally.

GCD of 32, 713, 823, 172 is 1

GCD(32, 713, 823, 172) = 1

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

GCD of

GCD of numbers 32, 713, 823, 172 is 1

GCD(32, 713, 823, 172) = 1

GCD of 32,713,823,172 Calculator

GCDof 32,713,823,172 is 1

Given Input numbers are 32, 713, 823, 172

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 713

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

1, 23, 31, 713

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 32, 713, 823, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 713, 823, 172 is 1.

Therefore, GCD of numbers 32, 713, 823, 172 is 1

Finding GCD of 32, 713, 823, 172 using Prime Factorization

Given Input Data is 32, 713, 823, 172

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 713 is 23 x 31

Prime Factorization of 823 is 823

Prime Factorization of 172 is 2 x 2 x 43

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

Finding GCD of 32, 713, 823, 172 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(32, 713) = 22816

GCD(32, 713) = ( 32 x 713 ) / 22816

GCD(32, 713) = 22816 / 22816

GCD(32, 713) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 32, 713, 823, 172 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 32, 713, 823, 172

1. What is the GCD of 32, 713, 823, 172?

GCD of 32, 713, 823, 172 is 1


2. Where do I get the detailed procedure to find GCD of 32, 713, 823, 172?

You can find a detailed procedure to find GCD of 32, 713, 823, 172 on our page.


3. How to find GCD of 32, 713, 823, 172 on a calculator?

You can find the GCD of 32, 713, 823, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.