GCD of 720, 477, 256, 133 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 720, 477, 256, 133 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 477, 256, 133 is 1

GCD(720, 477, 256, 133) = 1

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

GCD of

GCD of numbers 720, 477, 256, 133 is 1

GCD(720, 477, 256, 133) = 1

GCD of 720,477,256,133 Calculator

GCDof 720,477,256,133 is 1

Given Input numbers are 720, 477, 256, 133

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 720, 477, 256, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 477, 256, 133 is 1.

Therefore, GCD of numbers 720, 477, 256, 133 is 1

Finding GCD of 720, 477, 256, 133 using Prime Factorization

Given Input Data is 720, 477, 256, 133

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 133 is 7 x 19

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

Finding GCD of 720, 477, 256, 133 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(720, 477) = 38160

GCD(720, 477) = ( 720 x 477 ) / 38160

GCD(720, 477) = 343440 / 38160

GCD(720, 477) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 256

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

LCM(9, 256) = 2304

GCD(9, 256) = ( 9 x 256 ) / 2304

GCD(9, 256) = 2304 / 2304

GCD(9, 256) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 720, 477, 256, 133 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 477, 256, 133

1. What is the GCD of 720, 477, 256, 133?

GCD of 720, 477, 256, 133 is 1


2. Where do I get the detailed procedure to find GCD of 720, 477, 256, 133?

You can find a detailed procedure to find GCD of 720, 477, 256, 133 on our page.


3. How to find GCD of 720, 477, 256, 133 on a calculator?

You can find the GCD of 720, 477, 256, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.