GCD of 659, 387, 17, 812 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 659, 387, 17, 812 i.e. 1 largest integer that divides all the numbers equally.

GCD of 659, 387, 17, 812 is 1

GCD(659, 387, 17, 812) = 1

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

GCD of

GCD of numbers 659, 387, 17, 812 is 1

GCD(659, 387, 17, 812) = 1

GCD of 659,387,17,812 Calculator

GCDof 659,387,17,812 is 1

Given Input numbers are 659, 387, 17, 812

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 17

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

1, 17

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 659, 387, 17, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 387, 17, 812 is 1.

Therefore, GCD of numbers 659, 387, 17, 812 is 1

Finding GCD of 659, 387, 17, 812 using Prime Factorization

Given Input Data is 659, 387, 17, 812

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

Prime Factorization of 659 is 659

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 17 is 17

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Finding GCD of 659, 387, 17, 812 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(659, 387) = 255033

GCD(659, 387) = ( 659 x 387 ) / 255033

GCD(659, 387) = 255033 / 255033

GCD(659, 387) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 659, 387, 17, 812 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 659, 387, 17, 812

1. What is the GCD of 659, 387, 17, 812?

GCD of 659, 387, 17, 812 is 1


2. Where do I get the detailed procedure to find GCD of 659, 387, 17, 812?

You can find a detailed procedure to find GCD of 659, 387, 17, 812 on our page.


3. How to find GCD of 659, 387, 17, 812 on a calculator?

You can find the GCD of 659, 387, 17, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.