GCD of 488, 947, 523 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 488, 947, 523 i.e. 1 largest integer that divides all the numbers equally.

GCD of 488, 947, 523 is 1

GCD(488, 947, 523) = 1

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

GCD of

GCD of numbers 488, 947, 523 is 1

GCD(488, 947, 523) = 1

GCD of 488,947,523 Calculator

GCDof 488,947,523 is 1

Given Input numbers are 488, 947, 523

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 488, 947, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 947, 523 is 1.

Therefore, GCD of numbers 488, 947, 523 is 1

Finding GCD of 488, 947, 523 using Prime Factorization

Given Input Data is 488, 947, 523

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 947 is 947

Prime Factorization of 523 is 523

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

Finding GCD of 488, 947, 523 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(488, 947) = 462136

GCD(488, 947) = ( 488 x 947 ) / 462136

GCD(488, 947) = 462136 / 462136

GCD(488, 947) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 488, 947, 523 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 488, 947, 523

1. What is the GCD of 488, 947, 523?

GCD of 488, 947, 523 is 1


2. Where do I get the detailed procedure to find GCD of 488, 947, 523?

You can find a detailed procedure to find GCD of 488, 947, 523 on our page.


3. How to find GCD of 488, 947, 523 on a calculator?

You can find the GCD of 488, 947, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.