GCD of 173, 258, 71, 961 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 173, 258, 71, 961 i.e. 1 largest integer that divides all the numbers equally.

GCD of 173, 258, 71, 961 is 1

GCD(173, 258, 71, 961) = 1

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

GCD of

GCD of numbers 173, 258, 71, 961 is 1

GCD(173, 258, 71, 961) = 1

GCD of 173,258,71,961 Calculator

GCDof 173,258,71,961 is 1

Given Input numbers are 173, 258, 71, 961

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 173, 258, 71, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 258, 71, 961 is 1.

Therefore, GCD of numbers 173, 258, 71, 961 is 1

Finding GCD of 173, 258, 71, 961 using Prime Factorization

Given Input Data is 173, 258, 71, 961

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

Prime Factorization of 173 is 173

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 71 is 71

Prime Factorization of 961 is 31 x 31

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

Finding GCD of 173, 258, 71, 961 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(173, 258) = 44634

GCD(173, 258) = ( 173 x 258 ) / 44634

GCD(173, 258) = 44634 / 44634

GCD(173, 258) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 173, 258, 71, 961 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 173, 258, 71, 961

1. What is the GCD of 173, 258, 71, 961?

GCD of 173, 258, 71, 961 is 1


2. Where do I get the detailed procedure to find GCD of 173, 258, 71, 961?

You can find a detailed procedure to find GCD of 173, 258, 71, 961 on our page.


3. How to find GCD of 173, 258, 71, 961 on a calculator?

You can find the GCD of 173, 258, 71, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.