GCD of 816, 534, 13, 284 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, 534, 13, 284 i.e. 1 largest integer that divides all the numbers equally.

GCD of 816, 534, 13, 284 is 1

GCD(816, 534, 13, 284) = 1

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

GCD of

GCD of numbers 816, 534, 13, 284 is 1

GCD(816, 534, 13, 284) = 1

GCD of 816,534,13,284 Calculator

GCDof 816,534,13,284 is 1

Given Input numbers are 816, 534, 13, 284

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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 816, 534, 13, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 534, 13, 284 is 1.

Therefore, GCD of numbers 816, 534, 13, 284 is 1

Finding GCD of 816, 534, 13, 284 using Prime Factorization

Given Input Data is 816, 534, 13, 284

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 534 is 2 x 3 x 89

Prime Factorization of 13 is 13

Prime Factorization of 284 is 2 x 2 x 71

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

Finding GCD of 816, 534, 13, 284 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, 534) = 72624

GCD(816, 534) = ( 816 x 534 ) / 72624

GCD(816, 534) = 435744 / 72624

GCD(816, 534) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

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

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 816, 534, 13, 284 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 816, 534, 13, 284

1. What is the GCD of 816, 534, 13, 284?

GCD of 816, 534, 13, 284 is 1


2. Where do I get the detailed procedure to find GCD of 816, 534, 13, 284?

You can find a detailed procedure to find GCD of 816, 534, 13, 284 on our page.


3. How to find GCD of 816, 534, 13, 284 on a calculator?

You can find the GCD of 816, 534, 13, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.