GCD of 178, 299, 96 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 178, 299, 96 i.e. 1 largest integer that divides all the numbers equally.

GCD of 178, 299, 96 is 1

GCD(178, 299, 96) = 1

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

GCD of

GCD of numbers 178, 299, 96 is 1

GCD(178, 299, 96) = 1

GCD of 178,299,96 Calculator

GCDof 178,299,96 is 1

Given Input numbers are 178, 299, 96

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 178, 299, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 299, 96 is 1.

Therefore, GCD of numbers 178, 299, 96 is 1

Finding GCD of 178, 299, 96 using Prime Factorization

Given Input Data is 178, 299, 96

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 299 is 13 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 178, 299, 96 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(178, 299) = 53222

GCD(178, 299) = ( 178 x 299 ) / 53222

GCD(178, 299) = 53222 / 53222

GCD(178, 299) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

GCD of 178, 299, 96 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 178, 299, 96

1. What is the GCD of 178, 299, 96?

GCD of 178, 299, 96 is 1


2. Where do I get the detailed procedure to find GCD of 178, 299, 96?

You can find a detailed procedure to find GCD of 178, 299, 96 on our page.


3. How to find GCD of 178, 299, 96 on a calculator?

You can find the GCD of 178, 299, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.