GCD of 289, 991, 25, 113 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 289, 991, 25, 113 i.e. 1 largest integer that divides all the numbers equally.

GCD of 289, 991, 25, 113 is 1

GCD(289, 991, 25, 113) = 1

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

GCD of

GCD of numbers 289, 991, 25, 113 is 1

GCD(289, 991, 25, 113) = 1

GCD of 289,991,25,113 Calculator

GCDof 289,991,25,113 is 1

Given Input numbers are 289, 991, 25, 113

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 991

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

1, 991

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 289, 991, 25, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 991, 25, 113 is 1.

Therefore, GCD of numbers 289, 991, 25, 113 is 1

Finding GCD of 289, 991, 25, 113 using Prime Factorization

Given Input Data is 289, 991, 25, 113

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 991 is 991

Prime Factorization of 25 is 5 x 5

Prime Factorization of 113 is 113

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

Finding GCD of 289, 991, 25, 113 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(289, 991) = 286399

GCD(289, 991) = ( 289 x 991 ) / 286399

GCD(289, 991) = 286399 / 286399

GCD(289, 991) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 289, 991, 25, 113 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 289, 991, 25, 113

1. What is the GCD of 289, 991, 25, 113?

GCD of 289, 991, 25, 113 is 1


2. Where do I get the detailed procedure to find GCD of 289, 991, 25, 113?

You can find a detailed procedure to find GCD of 289, 991, 25, 113 on our page.


3. How to find GCD of 289, 991, 25, 113 on a calculator?

You can find the GCD of 289, 991, 25, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.