GCD of 480, 961, 491 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, 961, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 480, 961, 491 is 1

GCD(480, 961, 491) = 1

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

GCD of

GCD of numbers 480, 961, 491 is 1

GCD(480, 961, 491) = 1

GCD of 480,961,491 Calculator

GCDof 480,961,491 is 1

Given Input numbers are 480, 961, 491

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 480, 961, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 961, 491 is 1.

Therefore, GCD of numbers 480, 961, 491 is 1

Finding GCD of 480, 961, 491 using Prime Factorization

Given Input Data is 480, 961, 491

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 961 is 31 x 31

Prime Factorization of 491 is 491

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

Finding GCD of 480, 961, 491 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, 961) = 461280

GCD(480, 961) = ( 480 x 961 ) / 461280

GCD(480, 961) = 461280 / 461280

GCD(480, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 480, 961, 491 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 480, 961, 491

1. What is the GCD of 480, 961, 491?

GCD of 480, 961, 491 is 1

2. Where do I get the detailed procedure to find GCD of 480, 961, 491?

You can find a detailed procedure to find GCD of 480, 961, 491 on our page.

3. How to find GCD of 480, 961, 491 on a calculator?

You can find the GCD of 480, 961, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.