GCD of 721, 679, 459, 481 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 721, 679, 459, 481 i.e. 1 largest integer that divides all the numbers equally.

GCD of 721, 679, 459, 481 is 1

GCD(721, 679, 459, 481) = 1

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

GCD of

GCD of numbers 721, 679, 459, 481 is 1

GCD(721, 679, 459, 481) = 1

GCD of 721,679,459,481 Calculator

GCDof 721,679,459,481 is 1

Given Input numbers are 721, 679, 459, 481

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 721, 679, 459, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 679, 459, 481 is 1.

Therefore, GCD of numbers 721, 679, 459, 481 is 1

Finding GCD of 721, 679, 459, 481 using Prime Factorization

Given Input Data is 721, 679, 459, 481

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 679 is 7 x 97

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 481 is 13 x 37

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

Finding GCD of 721, 679, 459, 481 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(721, 679) = 69937

GCD(721, 679) = ( 721 x 679 ) / 69937

GCD(721, 679) = 489559 / 69937

GCD(721, 679) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 459

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

LCM(7, 459) = 3213

GCD(7, 459) = ( 7 x 459 ) / 3213

GCD(7, 459) = 3213 / 3213

GCD(7, 459) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 721, 679, 459, 481 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 721, 679, 459, 481

1. What is the GCD of 721, 679, 459, 481?

GCD of 721, 679, 459, 481 is 1


2. Where do I get the detailed procedure to find GCD of 721, 679, 459, 481?

You can find a detailed procedure to find GCD of 721, 679, 459, 481 on our page.


3. How to find GCD of 721, 679, 459, 481 on a calculator?

You can find the GCD of 721, 679, 459, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.