GCD of 159, 798, 576 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 159, 798, 576 i.e. 3 largest integer that divides all the numbers equally.

GCD of 159, 798, 576 is 3

GCD(159, 798, 576) = 3

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

GCD of

GCD of numbers 159, 798, 576 is 3

GCD(159, 798, 576) = 3

GCD of 159,798,576 Calculator

GCDof 159,798,576 is 3

Given Input numbers are 159, 798, 576

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 159, 798, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 798, 576 is 3.

Therefore, GCD of numbers 159, 798, 576 is 3

Finding GCD of 159, 798, 576 using Prime Factorization

Given Input Data is 159, 798, 576

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 159, 798, 576 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(159, 798) = 42294

GCD(159, 798) = ( 159 x 798 ) / 42294

GCD(159, 798) = 126882 / 42294

GCD(159, 798) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 576

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

LCM(3, 576) = 576

GCD(3, 576) = ( 3 x 576 ) / 576

GCD(3, 576) = 1728 / 576

GCD(3, 576) = 3

GCD of 159, 798, 576 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 159, 798, 576

1. What is the GCD of 159, 798, 576?

GCD of 159, 798, 576 is 3


2. Where do I get the detailed procedure to find GCD of 159, 798, 576?

You can find a detailed procedure to find GCD of 159, 798, 576 on our page.


3. How to find GCD of 159, 798, 576 on a calculator?

You can find the GCD of 159, 798, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.