GCD of 360, 581, 81, 916 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 360, 581, 81, 916 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 581, 81, 916 is 1

GCD(360, 581, 81, 916) = 1

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

GCD of

GCD of numbers 360, 581, 81, 916 is 1

GCD(360, 581, 81, 916) = 1

GCD of 360,581,81,916 Calculator

GCDof 360,581,81,916 is 1

Given Input numbers are 360, 581, 81, 916

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 360, 581, 81, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 581, 81, 916 is 1.

Therefore, GCD of numbers 360, 581, 81, 916 is 1

Finding GCD of 360, 581, 81, 916 using Prime Factorization

Given Input Data is 360, 581, 81, 916

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 581 is 7 x 83

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 916 is 2 x 2 x 229

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

Finding GCD of 360, 581, 81, 916 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(360, 581) = 209160

GCD(360, 581) = ( 360 x 581 ) / 209160

GCD(360, 581) = 209160 / 209160

GCD(360, 581) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 360, 581, 81, 916 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 581, 81, 916

1. What is the GCD of 360, 581, 81, 916?

GCD of 360, 581, 81, 916 is 1


2. Where do I get the detailed procedure to find GCD of 360, 581, 81, 916?

You can find a detailed procedure to find GCD of 360, 581, 81, 916 on our page.


3. How to find GCD of 360, 581, 81, 916 on a calculator?

You can find the GCD of 360, 581, 81, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.