GCD of 487, 509, 463 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 487, 509, 463 i.e. 1 largest integer that divides all the numbers equally.

GCD of 487, 509, 463 is 1

GCD(487, 509, 463) = 1

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

GCD of

GCD of numbers 487, 509, 463 is 1

GCD(487, 509, 463) = 1

GCD of 487,509,463 Calculator

GCDof 487,509,463 is 1

Given Input numbers are 487, 509, 463

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 487, 509, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 509, 463 is 1.

Therefore, GCD of numbers 487, 509, 463 is 1

Finding GCD of 487, 509, 463 using Prime Factorization

Given Input Data is 487, 509, 463

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

Prime Factorization of 487 is 487

Prime Factorization of 509 is 509

Prime Factorization of 463 is 463

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

Finding GCD of 487, 509, 463 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(487, 509) = 247883

GCD(487, 509) = ( 487 x 509 ) / 247883

GCD(487, 509) = 247883 / 247883

GCD(487, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 487, 509, 463 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 487, 509, 463

1. What is the GCD of 487, 509, 463?

GCD of 487, 509, 463 is 1

2. Where do I get the detailed procedure to find GCD of 487, 509, 463?

You can find a detailed procedure to find GCD of 487, 509, 463 on our page.

3. How to find GCD of 487, 509, 463 on a calculator?

You can find the GCD of 487, 509, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.