GCD of 458, 517, 477 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 458, 517, 477 i.e. 1 largest integer that divides all the numbers equally.

GCD of 458, 517, 477 is 1

GCD(458, 517, 477) = 1

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

GCD of

GCD of numbers 458, 517, 477 is 1

GCD(458, 517, 477) = 1

GCD of 458,517,477 Calculator

GCDof 458,517,477 is 1

Given Input numbers are 458, 517, 477

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 477

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

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 458, 517, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 517, 477 is 1.

Therefore, GCD of numbers 458, 517, 477 is 1

Finding GCD of 458, 517, 477 using Prime Factorization

Given Input Data is 458, 517, 477

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 517 is 11 x 47

Prime Factorization of 477 is 3 x 3 x 53

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

Finding GCD of 458, 517, 477 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(458, 517) = 236786

GCD(458, 517) = ( 458 x 517 ) / 236786

GCD(458, 517) = 236786 / 236786

GCD(458, 517) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 458, 517, 477 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 458, 517, 477

1. What is the GCD of 458, 517, 477?

GCD of 458, 517, 477 is 1


2. Where do I get the detailed procedure to find GCD of 458, 517, 477?

You can find a detailed procedure to find GCD of 458, 517, 477 on our page.


3. How to find GCD of 458, 517, 477 on a calculator?

You can find the GCD of 458, 517, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.