GCD of 961, 176, 712, 323 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, 176, 712, 323 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 176, 712, 323 is 1

GCD(961, 176, 712, 323) = 1

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

GCD of

GCD of numbers 961, 176, 712, 323 is 1

GCD(961, 176, 712, 323) = 1

GCD of 961,176,712,323 Calculator

GCDof 961,176,712,323 is 1

Given Input numbers are 961, 176, 712, 323

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 961, 176, 712, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 176, 712, 323 is 1.

Therefore, GCD of numbers 961, 176, 712, 323 is 1

Finding GCD of 961, 176, 712, 323 using Prime Factorization

Given Input Data is 961, 176, 712, 323

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 323 is 17 x 19

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

Finding GCD of 961, 176, 712, 323 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, 176) = 169136

GCD(961, 176) = ( 961 x 176 ) / 169136

GCD(961, 176) = 169136 / 169136

GCD(961, 176) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 961, 176, 712, 323 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 176, 712, 323

1. What is the GCD of 961, 176, 712, 323?

GCD of 961, 176, 712, 323 is 1


2. Where do I get the detailed procedure to find GCD of 961, 176, 712, 323?

You can find a detailed procedure to find GCD of 961, 176, 712, 323 on our page.


3. How to find GCD of 961, 176, 712, 323 on a calculator?

You can find the GCD of 961, 176, 712, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.