GCD of 288, 689, 96, 383 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 288, 689, 96, 383 i.e. 1 largest integer that divides all the numbers equally.

GCD of 288, 689, 96, 383 is 1

GCD(288, 689, 96, 383) = 1

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

GCD of

GCD of numbers 288, 689, 96, 383 is 1

GCD(288, 689, 96, 383) = 1

GCD of 288,689,96,383 Calculator

GCDof 288,689,96,383 is 1

Given Input numbers are 288, 689, 96, 383

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 288, 689, 96, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 689, 96, 383 is 1.

Therefore, GCD of numbers 288, 689, 96, 383 is 1

Finding GCD of 288, 689, 96, 383 using Prime Factorization

Given Input Data is 288, 689, 96, 383

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 689 is 13 x 53

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

Prime Factorization of 383 is 383

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

Finding GCD of 288, 689, 96, 383 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(288, 689) = 198432

GCD(288, 689) = ( 288 x 689 ) / 198432

GCD(288, 689) = 198432 / 198432

GCD(288, 689) = 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 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 288, 689, 96, 383 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 288, 689, 96, 383

1. What is the GCD of 288, 689, 96, 383?

GCD of 288, 689, 96, 383 is 1


2. Where do I get the detailed procedure to find GCD of 288, 689, 96, 383?

You can find a detailed procedure to find GCD of 288, 689, 96, 383 on our page.


3. How to find GCD of 288, 689, 96, 383 on a calculator?

You can find the GCD of 288, 689, 96, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.