GCD of 463, 723, 38, 853 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 463, 723, 38, 853 i.e. 1 largest integer that divides all the numbers equally.

GCD of 463, 723, 38, 853 is 1

GCD(463, 723, 38, 853) = 1

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

GCD of

GCD of numbers 463, 723, 38, 853 is 1

GCD(463, 723, 38, 853) = 1

GCD of 463,723,38,853 Calculator

GCDof 463,723,38,853 is 1

Given Input numbers are 463, 723, 38, 853

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 463, 723, 38, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 723, 38, 853 is 1.

Therefore, GCD of numbers 463, 723, 38, 853 is 1

Finding GCD of 463, 723, 38, 853 using Prime Factorization

Given Input Data is 463, 723, 38, 853

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

Prime Factorization of 463 is 463

Prime Factorization of 723 is 3 x 241

Prime Factorization of 38 is 2 x 19

Prime Factorization of 853 is 853

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

Finding GCD of 463, 723, 38, 853 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(463, 723) = 334749

GCD(463, 723) = ( 463 x 723 ) / 334749

GCD(463, 723) = 334749 / 334749

GCD(463, 723) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 463, 723, 38, 853 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 463, 723, 38, 853

1. What is the GCD of 463, 723, 38, 853?

GCD of 463, 723, 38, 853 is 1


2. Where do I get the detailed procedure to find GCD of 463, 723, 38, 853?

You can find a detailed procedure to find GCD of 463, 723, 38, 853 on our page.


3. How to find GCD of 463, 723, 38, 853 on a calculator?

You can find the GCD of 463, 723, 38, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.