GCD of 540, 982, 31 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 540, 982, 31 i.e. 1 largest integer that divides all the numbers equally.

GCD of 540, 982, 31 is 1

GCD(540, 982, 31) = 1

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

GCD of

GCD of numbers 540, 982, 31 is 1

GCD(540, 982, 31) = 1

GCD of 540,982,31 Calculator

GCDof 540,982,31 is 1

Given Input numbers are 540, 982, 31

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 540, 982, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 982, 31 is 1.

Therefore, GCD of numbers 540, 982, 31 is 1

Finding GCD of 540, 982, 31 using Prime Factorization

Given Input Data is 540, 982, 31

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 982 is 2 x 491

Prime Factorization of 31 is 31

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

Finding GCD of 540, 982, 31 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(540, 982) = 265140

GCD(540, 982) = ( 540 x 982 ) / 265140

GCD(540, 982) = 530280 / 265140

GCD(540, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

GCD of 540, 982, 31 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 540, 982, 31

1. What is the GCD of 540, 982, 31?

GCD of 540, 982, 31 is 1

2. Where do I get the detailed procedure to find GCD of 540, 982, 31?

You can find a detailed procedure to find GCD of 540, 982, 31 on our page.

3. How to find GCD of 540, 982, 31 on a calculator?

You can find the GCD of 540, 982, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.