GCD of 240, 531, 631, 586 Calculator

Given Input numbers are 240, 531, 631, 586

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 631

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

1, 631

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 240, 531, 631, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 531, 631, 586 is 1.

Therefore, GCD of numbers 240, 531, 631, 586 is 1

Given Input Data is 240, 531, 631, 586

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 631 is 631

Prime Factorization of 586 is 2 x 293

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(240, 531) = 42480

GCD(240, 531) = ( 240 x 531 ) / 42480

GCD(240, 531) = 127440 / 42480

GCD(240, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 240, 531, 631, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 998, 149, 950
• GCD of 235, 178, 386, 167
• GCD of 316, 444, 291, 629
• GCD of 555, 219, 762, 407
• GCD of 906, 771, 134, 294

1. What is the GCD of 240, 531, 631, 586?

GCD of 240, 531, 631, 586 is 1

2. Where do I get the detailed procedure to find GCD of 240, 531, 631, 586?

You can find a detailed procedure to find GCD of 240, 531, 631, 586 on our page.

3. How to find GCD of 240, 531, 631, 586 on a calculator?

You can find the GCD of 240, 531, 631, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.