GCD of 505, 496, 727 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 505, 496, 727 i.e. 1 largest integer that divides all the numbers equally.

GCD of 505, 496, 727 is 1

GCD(505, 496, 727) = 1

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

GCD of

GCD of numbers 505, 496, 727 is 1

GCD(505, 496, 727) = 1

GCD of 505,496,727 Calculator

GCDof 505,496,727 is 1

Given Input numbers are 505, 496, 727

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 505, 496, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 496, 727 is 1.

Therefore, GCD of numbers 505, 496, 727 is 1

Finding GCD of 505, 496, 727 using Prime Factorization

Given Input Data is 505, 496, 727

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

Prime Factorization of 505 is 5 x 101

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

Prime Factorization of 727 is 727

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

Finding GCD of 505, 496, 727 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(505, 496) = 250480

GCD(505, 496) = ( 505 x 496 ) / 250480

GCD(505, 496) = 250480 / 250480

GCD(505, 496) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 505, 496, 727 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 505, 496, 727

1. What is the GCD of 505, 496, 727?

GCD of 505, 496, 727 is 1


2. Where do I get the detailed procedure to find GCD of 505, 496, 727?

You can find a detailed procedure to find GCD of 505, 496, 727 on our page.


3. How to find GCD of 505, 496, 727 on a calculator?

You can find the GCD of 505, 496, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.