GCD of 729, 280, 537, 488 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 729, 280, 537, 488 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 280, 537, 488 is 1

GCD(729, 280, 537, 488) = 1

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

GCD of

GCD of numbers 729, 280, 537, 488 is 1

GCD(729, 280, 537, 488) = 1

GCD of 729,280,537,488 Calculator

GCDof 729,280,537,488 is 1

Given Input numbers are 729, 280, 537, 488

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

Divisors of 729

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

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 729, 280, 537, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 280, 537, 488 is 1.

Therefore, GCD of numbers 729, 280, 537, 488 is 1

Finding GCD of 729, 280, 537, 488 using Prime Factorization

Given Input Data is 729, 280, 537, 488

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

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 537 is 3 x 179

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Finding GCD of 729, 280, 537, 488 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(729, 280) = 204120

GCD(729, 280) = ( 729 x 280 ) / 204120

GCD(729, 280) = 204120 / 204120

GCD(729, 280) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 729, 280, 537, 488 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 280, 537, 488

1. What is the GCD of 729, 280, 537, 488?

GCD of 729, 280, 537, 488 is 1


2. Where do I get the detailed procedure to find GCD of 729, 280, 537, 488?

You can find a detailed procedure to find GCD of 729, 280, 537, 488 on our page.


3. How to find GCD of 729, 280, 537, 488 on a calculator?

You can find the GCD of 729, 280, 537, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.