GCD of 505, 327, 32, 824 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, 327, 32, 824 i.e. 1 largest integer that divides all the numbers equally.

GCD of 505, 327, 32, 824 is 1

GCD(505, 327, 32, 824) = 1

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

GCD of

GCD of numbers 505, 327, 32, 824 is 1

GCD(505, 327, 32, 824) = 1

GCD of 505,327,32,824 Calculator

GCDof 505,327,32,824 is 1

Given Input numbers are 505, 327, 32, 824

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 505, 327, 32, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 327, 32, 824 is 1.

Therefore, GCD of numbers 505, 327, 32, 824 is 1

Finding GCD of 505, 327, 32, 824 using Prime Factorization

Given Input Data is 505, 327, 32, 824

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 327 is 3 x 109

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Finding GCD of 505, 327, 32, 824 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, 327) = 165135

GCD(505, 327) = ( 505 x 327 ) / 165135

GCD(505, 327) = 165135 / 165135

GCD(505, 327) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 505, 327, 32, 824 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 505, 327, 32, 824

1. What is the GCD of 505, 327, 32, 824?

GCD of 505, 327, 32, 824 is 1


2. Where do I get the detailed procedure to find GCD of 505, 327, 32, 824?

You can find a detailed procedure to find GCD of 505, 327, 32, 824 on our page.


3. How to find GCD of 505, 327, 32, 824 on a calculator?

You can find the GCD of 505, 327, 32, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.