GCD of 808, 713, 142, 496 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 808, 713, 142, 496 i.e. 1 largest integer that divides all the numbers equally.

GCD of 808, 713, 142, 496 is 1

GCD(808, 713, 142, 496) = 1

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

GCD of

GCD of numbers 808, 713, 142, 496 is 1

GCD(808, 713, 142, 496) = 1

GCD of 808,713,142,496 Calculator

GCDof 808,713,142,496 is 1

Given Input numbers are 808, 713, 142, 496

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 713

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

1, 23, 31, 713

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 808, 713, 142, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 713, 142, 496 is 1.

Therefore, GCD of numbers 808, 713, 142, 496 is 1

Finding GCD of 808, 713, 142, 496 using Prime Factorization

Given Input Data is 808, 713, 142, 496

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 713 is 23 x 31

Prime Factorization of 142 is 2 x 71

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

Finding GCD of 808, 713, 142, 496 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(808, 713) = 576104

GCD(808, 713) = ( 808 x 713 ) / 576104

GCD(808, 713) = 576104 / 576104

GCD(808, 713) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 808, 713, 142, 496 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 808, 713, 142, 496

1. What is the GCD of 808, 713, 142, 496?

GCD of 808, 713, 142, 496 is 1


2. Where do I get the detailed procedure to find GCD of 808, 713, 142, 496?

You can find a detailed procedure to find GCD of 808, 713, 142, 496 on our page.


3. How to find GCD of 808, 713, 142, 496 on a calculator?

You can find the GCD of 808, 713, 142, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.