GCD of 504, 873, 11, 725 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 504, 873, 11, 725 i.e. 1 largest integer that divides all the numbers equally.

GCD of 504, 873, 11, 725 is 1

GCD(504, 873, 11, 725) = 1

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

GCD of

GCD of numbers 504, 873, 11, 725 is 1

GCD(504, 873, 11, 725) = 1

GCD of 504,873,11,725 Calculator

GCDof 504,873,11,725 is 1

Given Input numbers are 504, 873, 11, 725

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 504, 873, 11, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 873, 11, 725 is 1.

Therefore, GCD of numbers 504, 873, 11, 725 is 1

Finding GCD of 504, 873, 11, 725 using Prime Factorization

Given Input Data is 504, 873, 11, 725

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 11 is 11

Prime Factorization of 725 is 5 x 5 x 29

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

Finding GCD of 504, 873, 11, 725 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(504, 873) = 48888

GCD(504, 873) = ( 504 x 873 ) / 48888

GCD(504, 873) = 439992 / 48888

GCD(504, 873) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 11

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

LCM(9, 11) = 99

GCD(9, 11) = ( 9 x 11 ) / 99

GCD(9, 11) = 99 / 99

GCD(9, 11) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 504, 873, 11, 725 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 504, 873, 11, 725

1. What is the GCD of 504, 873, 11, 725?

GCD of 504, 873, 11, 725 is 1


2. Where do I get the detailed procedure to find GCD of 504, 873, 11, 725?

You can find a detailed procedure to find GCD of 504, 873, 11, 725 on our page.


3. How to find GCD of 504, 873, 11, 725 on a calculator?

You can find the GCD of 504, 873, 11, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.