GCD of 480, 209, 713 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 480, 209, 713 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 209, 713 is 1

GCD(480, 209, 713) = 1

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

GCD of

GCD of numbers 480, 209, 713 is 1

GCD(480, 209, 713) = 1

GCD of 480,209,713 Calculator

GCDof 480,209,713 is 1

Given Input numbers are 480, 209, 713

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 480, 209, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 209, 713 is 1.

Therefore, GCD of numbers 480, 209, 713 is 1

Finding GCD of 480, 209, 713 using Prime Factorization

Given Input Data is 480, 209, 713

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 209 is 11 x 19

Prime Factorization of 713 is 23 x 31

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

Finding GCD of 480, 209, 713 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(480, 209) = 100320

GCD(480, 209) = ( 480 x 209 ) / 100320

GCD(480, 209) = 100320 / 100320

GCD(480, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 480, 209, 713 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 480, 209, 713

1. What is the GCD of 480, 209, 713?

GCD of 480, 209, 713 is 1

2. Where do I get the detailed procedure to find GCD of 480, 209, 713?

You can find a detailed procedure to find GCD of 480, 209, 713 on our page.

3. How to find GCD of 480, 209, 713 on a calculator?

You can find the GCD of 480, 209, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.