GCD of 323, 971, 50, 501 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 323, 971, 50, 501 i.e. 1 largest integer that divides all the numbers equally.

GCD of 323, 971, 50, 501 is 1

GCD(323, 971, 50, 501) = 1

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

GCD of

GCD of numbers 323, 971, 50, 501 is 1

GCD(323, 971, 50, 501) = 1

GCD of 323,971,50,501 Calculator

GCDof 323,971,50,501 is 1

Given Input numbers are 323, 971, 50, 501

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 323, 971, 50, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 971, 50, 501 is 1.

Therefore, GCD of numbers 323, 971, 50, 501 is 1

Finding GCD of 323, 971, 50, 501 using Prime Factorization

Given Input Data is 323, 971, 50, 501

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 971 is 971

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 501 is 3 x 167

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

Finding GCD of 323, 971, 50, 501 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(323, 971) = 313633

GCD(323, 971) = ( 323 x 971 ) / 313633

GCD(323, 971) = 313633 / 313633

GCD(323, 971) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 323, 971, 50, 501 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 323, 971, 50, 501

1. What is the GCD of 323, 971, 50, 501?

GCD of 323, 971, 50, 501 is 1


2. Where do I get the detailed procedure to find GCD of 323, 971, 50, 501?

You can find a detailed procedure to find GCD of 323, 971, 50, 501 on our page.


3. How to find GCD of 323, 971, 50, 501 on a calculator?

You can find the GCD of 323, 971, 50, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.