GCD of 689, 318, 45, 473 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, 318, 45, 473 i.e. 1 largest integer that divides all the numbers equally.

GCD of 689, 318, 45, 473 is 1

GCD(689, 318, 45, 473) = 1

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

GCD of

GCD of numbers 689, 318, 45, 473 is 1

GCD(689, 318, 45, 473) = 1

GCD of 689,318,45,473 Calculator

GCDof 689,318,45,473 is 1

Given Input numbers are 689, 318, 45, 473

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 689, 318, 45, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 318, 45, 473 is 1.

Therefore, GCD of numbers 689, 318, 45, 473 is 1

Finding GCD of 689, 318, 45, 473 using Prime Factorization

Given Input Data is 689, 318, 45, 473

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 473 is 11 x 43

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

Finding GCD of 689, 318, 45, 473 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, 318) = 4134

GCD(689, 318) = ( 689 x 318 ) / 4134

GCD(689, 318) = 219102 / 4134

GCD(689, 318) = 53


Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 45

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

LCM(53, 45) = 2385

GCD(53, 45) = ( 53 x 45 ) / 2385

GCD(53, 45) = 2385 / 2385

GCD(53, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 689, 318, 45, 473 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 689, 318, 45, 473

1. What is the GCD of 689, 318, 45, 473?

GCD of 689, 318, 45, 473 is 1


2. Where do I get the detailed procedure to find GCD of 689, 318, 45, 473?

You can find a detailed procedure to find GCD of 689, 318, 45, 473 on our page.


3. How to find GCD of 689, 318, 45, 473 on a calculator?

You can find the GCD of 689, 318, 45, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.