GCD of 529, 500, 991 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 529, 500, 991 i.e. 1 largest integer that divides all the numbers equally.

GCD of 529, 500, 991 is 1

GCD(529, 500, 991) = 1

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

GCD of

GCD of numbers 529, 500, 991 is 1

GCD(529, 500, 991) = 1

GCD of 529,500,991 Calculator

GCDof 529,500,991 is 1

Given Input numbers are 529, 500, 991

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 529, 500, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 500, 991 is 1.

Therefore, GCD of numbers 529, 500, 991 is 1

Finding GCD of 529, 500, 991 using Prime Factorization

Given Input Data is 529, 500, 991

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 991 is 991

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

Finding GCD of 529, 500, 991 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(529, 500) = 264500

GCD(529, 500) = ( 529 x 500 ) / 264500

GCD(529, 500) = 264500 / 264500

GCD(529, 500) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 529, 500, 991 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 529, 500, 991

1. What is the GCD of 529, 500, 991?

GCD of 529, 500, 991 is 1


2. Where do I get the detailed procedure to find GCD of 529, 500, 991?

You can find a detailed procedure to find GCD of 529, 500, 991 on our page.


3. How to find GCD of 529, 500, 991 on a calculator?

You can find the GCD of 529, 500, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.