GCD of 508, 887, 14, 729 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 508, 887, 14, 729 i.e. 1 largest integer that divides all the numbers equally.

GCD of 508, 887, 14, 729 is 1

GCD(508, 887, 14, 729) = 1

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

GCD of

GCD of numbers 508, 887, 14, 729 is 1

GCD(508, 887, 14, 729) = 1

GCD of 508,887,14,729 Calculator

GCDof 508,887,14,729 is 1

Given Input numbers are 508, 887, 14, 729

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 508, 887, 14, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 887, 14, 729 is 1.

Therefore, GCD of numbers 508, 887, 14, 729 is 1

Finding GCD of 508, 887, 14, 729 using Prime Factorization

Given Input Data is 508, 887, 14, 729

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 887 is 887

Prime Factorization of 14 is 2 x 7

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 508, 887, 14, 729 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(508, 887) = 450596

GCD(508, 887) = ( 508 x 887 ) / 450596

GCD(508, 887) = 450596 / 450596

GCD(508, 887) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 508, 887, 14, 729 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 508, 887, 14, 729

1. What is the GCD of 508, 887, 14, 729?

GCD of 508, 887, 14, 729 is 1


2. Where do I get the detailed procedure to find GCD of 508, 887, 14, 729?

You can find a detailed procedure to find GCD of 508, 887, 14, 729 on our page.


3. How to find GCD of 508, 887, 14, 729 on a calculator?

You can find the GCD of 508, 887, 14, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.