GCD of 501, 731, 48, 251 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 501, 731, 48, 251 i.e. 1 largest integer that divides all the numbers equally.

GCD of 501, 731, 48, 251 is 1

GCD(501, 731, 48, 251) = 1

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

GCD of

GCD of numbers 501, 731, 48, 251 is 1

GCD(501, 731, 48, 251) = 1

GCD of 501,731,48,251 Calculator

GCDof 501,731,48,251 is 1

Given Input numbers are 501, 731, 48, 251

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

Divisors of 501

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

1, 3, 167, 501

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 501, 731, 48, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 731, 48, 251 is 1.

Therefore, GCD of numbers 501, 731, 48, 251 is 1

Finding GCD of 501, 731, 48, 251 using Prime Factorization

Given Input Data is 501, 731, 48, 251

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 731 is 17 x 43

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 251 is 251

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

Finding GCD of 501, 731, 48, 251 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(501, 731) = 366231

GCD(501, 731) = ( 501 x 731 ) / 366231

GCD(501, 731) = 366231 / 366231

GCD(501, 731) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 501, 731, 48, 251 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 501, 731, 48, 251

1. What is the GCD of 501, 731, 48, 251?

GCD of 501, 731, 48, 251 is 1


2. Where do I get the detailed procedure to find GCD of 501, 731, 48, 251?

You can find a detailed procedure to find GCD of 501, 731, 48, 251 on our page.


3. How to find GCD of 501, 731, 48, 251 on a calculator?

You can find the GCD of 501, 731, 48, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.