GCD of 249, 360, 12, 538 Calculator

Given Input numbers are 249, 360, 12, 538

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 249, 360, 12, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 360, 12, 538 is 1.

Therefore, GCD of numbers 249, 360, 12, 538 is 1

Given Input Data is 249, 360, 12, 538

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

Prime Factorization of 249 is 3 x 83

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 538 is 2 x 269

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(249, 360) = 29880

GCD(249, 360) = ( 249 x 360 ) / 29880

GCD(249, 360) = 89640 / 29880

GCD(249, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 249, 360, 12, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 402, 52, 584
• GCD of 519, 151, 69, 923
• GCD of 580, 521, 64, 968
• GCD of 874, 103, 75, 984
• GCD of 311, 116, 84, 799

1. What is the GCD of 249, 360, 12, 538?

GCD of 249, 360, 12, 538 is 1

2. Where do I get the detailed procedure to find GCD of 249, 360, 12, 538?

You can find a detailed procedure to find GCD of 249, 360, 12, 538 on our page.

3. How to find GCD of 249, 360, 12, 538 on a calculator?

You can find the GCD of 249, 360, 12, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.