GCD of 961, 172, 87, 173 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 961, 172, 87, 173 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 172, 87, 173 is 1

GCD(961, 172, 87, 173) = 1

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

GCD of

GCD of numbers 961, 172, 87, 173 is 1

GCD(961, 172, 87, 173) = 1

GCD of 961,172,87,173 Calculator

GCDof 961,172,87,173 is 1

Given Input numbers are 961, 172, 87, 173

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

Divisors of 961

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

1, 31, 961

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 173

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

1, 173

Greatest Common Divisior

We found the divisors of 961, 172, 87, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 172, 87, 173 is 1.

Therefore, GCD of numbers 961, 172, 87, 173 is 1

Finding GCD of 961, 172, 87, 173 using Prime Factorization

Given Input Data is 961, 172, 87, 173

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 87 is 3 x 29

Prime Factorization of 173 is 173

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

Finding GCD of 961, 172, 87, 173 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(961, 172) = 165292

GCD(961, 172) = ( 961 x 172 ) / 165292

GCD(961, 172) = 165292 / 165292

GCD(961, 172) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 961, 172, 87, 173 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 172, 87, 173

1. What is the GCD of 961, 172, 87, 173?

GCD of 961, 172, 87, 173 is 1


2. Where do I get the detailed procedure to find GCD of 961, 172, 87, 173?

You can find a detailed procedure to find GCD of 961, 172, 87, 173 on our page.


3. How to find GCD of 961, 172, 87, 173 on a calculator?

You can find the GCD of 961, 172, 87, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.