GCD of 501, 549, 14, 787 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, 549, 14, 787 i.e. 1 largest integer that divides all the numbers equally.

GCD of 501, 549, 14, 787 is 1

GCD(501, 549, 14, 787) = 1

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

GCD of

GCD of numbers 501, 549, 14, 787 is 1

GCD(501, 549, 14, 787) = 1

GCD of 501,549,14,787 Calculator

GCDof 501,549,14,787 is 1

Given Input numbers are 501, 549, 14, 787

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 501, 549, 14, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 549, 14, 787 is 1.

Therefore, GCD of numbers 501, 549, 14, 787 is 1

Finding GCD of 501, 549, 14, 787 using Prime Factorization

Given Input Data is 501, 549, 14, 787

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 14 is 2 x 7

Prime Factorization of 787 is 787

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

Finding GCD of 501, 549, 14, 787 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, 549) = 91683

GCD(501, 549) = ( 501 x 549 ) / 91683

GCD(501, 549) = 275049 / 91683

GCD(501, 549) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

GCD of 501, 549, 14, 787 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 501, 549, 14, 787

1. What is the GCD of 501, 549, 14, 787?

GCD of 501, 549, 14, 787 is 1


2. Where do I get the detailed procedure to find GCD of 501, 549, 14, 787?

You can find a detailed procedure to find GCD of 501, 549, 14, 787 on our page.


3. How to find GCD of 501, 549, 14, 787 on a calculator?

You can find the GCD of 501, 549, 14, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.