GCD of 487, 658, 17 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, 658, 17 i.e. 1 largest integer that divides all the numbers equally.

GCD of 487, 658, 17 is 1

GCD(487, 658, 17) = 1

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

GCD of

GCD of numbers 487, 658, 17 is 1

GCD(487, 658, 17) = 1

GCD of 487,658,17 Calculator

GCDof 487,658,17 is 1

Given Input numbers are 487, 658, 17

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 487, 658, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 658, 17 is 1.

Therefore, GCD of numbers 487, 658, 17 is 1

Finding GCD of 487, 658, 17 using Prime Factorization

Given Input Data is 487, 658, 17

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

Prime Factorization of 487 is 487

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 17 is 17

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

Finding GCD of 487, 658, 17 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, 658) = 320446

GCD(487, 658) = ( 487 x 658 ) / 320446

GCD(487, 658) = 320446 / 320446

GCD(487, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 487, 658, 17 is 1

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FAQs on GCD of numbers 487, 658, 17

1. What is the GCD of 487, 658, 17?

GCD of 487, 658, 17 is 1

2. Where do I get the detailed procedure to find GCD of 487, 658, 17?

You can find a detailed procedure to find GCD of 487, 658, 17 on our page.

3. How to find GCD of 487, 658, 17 on a calculator?

You can find the GCD of 487, 658, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.