GCD of 457, 472, 512 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 457, 472, 512 i.e. 1 largest integer that divides all the numbers equally.

GCD of 457, 472, 512 is 1

GCD(457, 472, 512) = 1

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

GCD of

GCD of numbers 457, 472, 512 is 1

GCD(457, 472, 512) = 1

GCD of 457,472,512 Calculator

GCDof 457,472,512 is 1

Given Input numbers are 457, 472, 512

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 457, 472, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 472, 512 is 1.

Therefore, GCD of numbers 457, 472, 512 is 1

Finding GCD of 457, 472, 512 using Prime Factorization

Given Input Data is 457, 472, 512

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

Prime Factorization of 457 is 457

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Finding GCD of 457, 472, 512 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(457, 472) = 215704

GCD(457, 472) = ( 457 x 472 ) / 215704

GCD(457, 472) = 215704 / 215704

GCD(457, 472) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 457, 472, 512 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 457, 472, 512

1. What is the GCD of 457, 472, 512?

GCD of 457, 472, 512 is 1


2. Where do I get the detailed procedure to find GCD of 457, 472, 512?

You can find a detailed procedure to find GCD of 457, 472, 512 on our page.


3. How to find GCD of 457, 472, 512 on a calculator?

You can find the GCD of 457, 472, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.