GCD of 497, 664, 103 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 497, 664, 103 i.e. 1 largest integer that divides all the numbers equally.

GCD of 497, 664, 103 is 1

GCD(497, 664, 103) = 1

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

GCD of

GCD of numbers 497, 664, 103 is 1

GCD(497, 664, 103) = 1

GCD of 497,664,103 Calculator

GCDof 497,664,103 is 1

Given Input numbers are 497, 664, 103

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 497, 664, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 664, 103 is 1.

Therefore, GCD of numbers 497, 664, 103 is 1

Finding GCD of 497, 664, 103 using Prime Factorization

Given Input Data is 497, 664, 103

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 103 is 103

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

Finding GCD of 497, 664, 103 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(497, 664) = 330008

GCD(497, 664) = ( 497 x 664 ) / 330008

GCD(497, 664) = 330008 / 330008

GCD(497, 664) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 497, 664, 103 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 497, 664, 103

1. What is the GCD of 497, 664, 103?

GCD of 497, 664, 103 is 1


2. Where do I get the detailed procedure to find GCD of 497, 664, 103?

You can find a detailed procedure to find GCD of 497, 664, 103 on our page.


3. How to find GCD of 497, 664, 103 on a calculator?

You can find the GCD of 497, 664, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.