GCD of 660, 730, 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 660, 730, 96 i.e. 2 largest integer that divides all the numbers equally.

GCD of 660, 730, 96 is 2

GCD(660, 730, 96) = 2

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

GCD of

GCD of numbers 660, 730, 96 is 2

GCD(660, 730, 96) = 2

GCD of 660,730,96 Calculator

GCDof 660,730,96 is 2

Given Input numbers are 660, 730, 96

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

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 660, 730, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 730, 96 is 2.

Therefore, GCD of numbers 660, 730, 96 is 2

Finding GCD of 660, 730, 96 using Prime Factorization

Given Input Data is 660, 730, 96

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 730 is 2 x 5 x 73

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 660, 730, 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(660, 730) = 48180

GCD(660, 730) = ( 660 x 730 ) / 48180

GCD(660, 730) = 481800 / 48180

GCD(660, 730) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 96

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

LCM(10, 96) = 480

GCD(10, 96) = ( 10 x 96 ) / 480

GCD(10, 96) = 960 / 480

GCD(10, 96) = 2

GCD of 660, 730, 96 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 730, 96

1. What is the GCD of 660, 730, 96?

GCD of 660, 730, 96 is 2


2. Where do I get the detailed procedure to find GCD of 660, 730, 96?

You can find a detailed procedure to find GCD of 660, 730, 96 on our page.


3. How to find GCD of 660, 730, 96 on a calculator?

You can find the GCD of 660, 730, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.