GCD of 816, 713, 53 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 816, 713, 53 i.e. 1 largest integer that divides all the numbers equally.

GCD of 816, 713, 53 is 1

GCD(816, 713, 53) = 1

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

GCD of

GCD of numbers 816, 713, 53 is 1

GCD(816, 713, 53) = 1

GCD of 816,713,53 Calculator

GCDof 816,713,53 is 1

Given Input numbers are 816, 713, 53

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 713

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

1, 23, 31, 713

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 816, 713, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 713, 53 is 1.

Therefore, GCD of numbers 816, 713, 53 is 1

Finding GCD of 816, 713, 53 using Prime Factorization

Given Input Data is 816, 713, 53

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 713 is 23 x 31

Prime Factorization of 53 is 53

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

Finding GCD of 816, 713, 53 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(816, 713) = 581808

GCD(816, 713) = ( 816 x 713 ) / 581808

GCD(816, 713) = 581808 / 581808

GCD(816, 713) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 816, 713, 53 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 816, 713, 53

1. What is the GCD of 816, 713, 53?

GCD of 816, 713, 53 is 1


2. Where do I get the detailed procedure to find GCD of 816, 713, 53?

You can find a detailed procedure to find GCD of 816, 713, 53 on our page.


3. How to find GCD of 816, 713, 53 on a calculator?

You can find the GCD of 816, 713, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.