GCD of 540, 117, 398, 631 Calculator

Given Input numbers are 540, 117, 398, 631

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 540, 117, 398, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 117, 398, 631 is 1.

Therefore, GCD of numbers 540, 117, 398, 631 is 1

Given Input Data is 540, 117, 398, 631

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 117 is 3 x 3 x 13

Prime Factorization of 398 is 2 x 199

Prime Factorization of 631 is 631

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, 117) = 7020

GCD(540, 117) = ( 540 x 117 ) / 7020

GCD(540, 117) = 63180 / 7020

GCD(540, 117) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 398

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

LCM(9, 398) = 3582

GCD(9, 398) = ( 9 x 398 ) / 3582

GCD(9, 398) = 3582 / 3582

GCD(9, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

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

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

GCD of 540, 117, 398, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 767, 542, 997
• GCD of 813, 799, 580, 361
• GCD of 205, 866, 792, 533
• GCD of 272, 398, 827, 429
• GCD of 151, 656, 142, 259

1. What is the GCD of 540, 117, 398, 631?

GCD of 540, 117, 398, 631 is 1

2. Where do I get the detailed procedure to find GCD of 540, 117, 398, 631?

You can find a detailed procedure to find GCD of 540, 117, 398, 631 on our page.

3. How to find GCD of 540, 117, 398, 631 on a calculator?

You can find the GCD of 540, 117, 398, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.