GCD of 96, 349, 264, 273 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 96, 349, 264, 273 i.e. 1 largest integer that divides all the numbers equally.

GCD of 96, 349, 264, 273 is 1

GCD(96, 349, 264, 273) = 1

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

GCD of

GCD of numbers 96, 349, 264, 273 is 1

GCD(96, 349, 264, 273) = 1

GCD of 96,349,264,273 Calculator

GCDof 96,349,264,273 is 1

Given Input numbers are 96, 349, 264, 273

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

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 96, 349, 264, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 349, 264, 273 is 1.

Therefore, GCD of numbers 96, 349, 264, 273 is 1

Finding GCD of 96, 349, 264, 273 using Prime Factorization

Given Input Data is 96, 349, 264, 273

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

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

Prime Factorization of 349 is 349

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 273 is 3 x 7 x 13

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

Finding GCD of 96, 349, 264, 273 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(96, 349) = 33504

GCD(96, 349) = ( 96 x 349 ) / 33504

GCD(96, 349) = 33504 / 33504

GCD(96, 349) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 96, 349, 264, 273 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 96, 349, 264, 273

1. What is the GCD of 96, 349, 264, 273?

GCD of 96, 349, 264, 273 is 1


2. Where do I get the detailed procedure to find GCD of 96, 349, 264, 273?

You can find a detailed procedure to find GCD of 96, 349, 264, 273 on our page.


3. How to find GCD of 96, 349, 264, 273 on a calculator?

You can find the GCD of 96, 349, 264, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.