GCD of 273, 785, 96, 916 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 273, 785, 96, 916 i.e. 1 largest integer that divides all the numbers equally.

GCD of 273, 785, 96, 916 is 1

GCD(273, 785, 96, 916) = 1

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

GCD of

GCD of numbers 273, 785, 96, 916 is 1

GCD(273, 785, 96, 916) = 1

GCD of 273,785,96,916 Calculator

GCDof 273,785,96,916 is 1

Given Input numbers are 273, 785, 96, 916

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

Divisors of 273

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

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 273, 785, 96, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 785, 96, 916 is 1.

Therefore, GCD of numbers 273, 785, 96, 916 is 1

Finding GCD of 273, 785, 96, 916 using Prime Factorization

Given Input Data is 273, 785, 96, 916

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 785 is 5 x 157

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

Prime Factorization of 916 is 2 x 2 x 229

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

Finding GCD of 273, 785, 96, 916 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(273, 785) = 214305

GCD(273, 785) = ( 273 x 785 ) / 214305

GCD(273, 785) = 214305 / 214305

GCD(273, 785) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 273, 785, 96, 916 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 273, 785, 96, 916

1. What is the GCD of 273, 785, 96, 916?

GCD of 273, 785, 96, 916 is 1


2. Where do I get the detailed procedure to find GCD of 273, 785, 96, 916?

You can find a detailed procedure to find GCD of 273, 785, 96, 916 on our page.


3. How to find GCD of 273, 785, 96, 916 on a calculator?

You can find the GCD of 273, 785, 96, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.