GCD of 540, 410, 981, 498 Calculator

Given Input numbers are 540, 410, 981, 498

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 540, 410, 981, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 410, 981, 498 is 1.

Therefore, GCD of numbers 540, 410, 981, 498 is 1

Given Input Data is 540, 410, 981, 498

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 410 is 2 x 5 x 41

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 498 is 2 x 3 x 83

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

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, 410) = 22140

GCD(540, 410) = ( 540 x 410 ) / 22140

GCD(540, 410) = 221400 / 22140

GCD(540, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 981

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

LCM(10, 981) = 9810

GCD(10, 981) = ( 10 x 981 ) / 9810

GCD(10, 981) = 9810 / 9810

GCD(10, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 540, 410, 981, 498 is 1

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1. What is the GCD of 540, 410, 981, 498?

GCD of 540, 410, 981, 498 is 1

2. Where do I get the detailed procedure to find GCD of 540, 410, 981, 498?

You can find a detailed procedure to find GCD of 540, 410, 981, 498 on our page.

3. How to find GCD of 540, 410, 981, 498 on a calculator?

You can find the GCD of 540, 410, 981, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.