GCD of 689, 676, 477 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 689, 676, 477 i.e. 1 largest integer that divides all the numbers equally.

GCD of 689, 676, 477 is 1

GCD(689, 676, 477) = 1

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

GCD of

GCD of numbers 689, 676, 477 is 1

GCD(689, 676, 477) = 1

GCD of 689,676,477 Calculator

GCDof 689,676,477 is 1

Given Input numbers are 689, 676, 477

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 689, 676, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 676, 477 is 1.

Therefore, GCD of numbers 689, 676, 477 is 1

Finding GCD of 689, 676, 477 using Prime Factorization

Given Input Data is 689, 676, 477

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 477 is 3 x 3 x 53

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

Finding GCD of 689, 676, 477 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(689, 676) = 35828

GCD(689, 676) = ( 689 x 676 ) / 35828

GCD(689, 676) = 465764 / 35828

GCD(689, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 477

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

LCM(13, 477) = 6201

GCD(13, 477) = ( 13 x 477 ) / 6201

GCD(13, 477) = 6201 / 6201

GCD(13, 477) = 1

GCD of 689, 676, 477 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 689, 676, 477

1. What is the GCD of 689, 676, 477?

GCD of 689, 676, 477 is 1

2. Where do I get the detailed procedure to find GCD of 689, 676, 477?

You can find a detailed procedure to find GCD of 689, 676, 477 on our page.

3. How to find GCD of 689, 676, 477 on a calculator?

You can find the GCD of 689, 676, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.