GCD of 13, 556, 288, 412 Calculator

Given Input numbers are 13, 556, 288, 412

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 13, 556, 288, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 556, 288, 412 is 1.

Therefore, GCD of numbers 13, 556, 288, 412 is 1

Given Input Data is 13, 556, 288, 412

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

Prime Factorization of 13 is 13

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 412 is 2 x 2 x 103

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(13, 556) = 7228

GCD(13, 556) = ( 13 x 556 ) / 7228

GCD(13, 556) = 7228 / 7228

GCD(13, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 13, 556, 288, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 159, 741, 215
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• GCD of 59, 495, 763, 377
• GCD of 35, 657, 831, 495
• GCD of 86, 670, 970, 443

1. What is the GCD of 13, 556, 288, 412?

GCD of 13, 556, 288, 412 is 1

2. Where do I get the detailed procedure to find GCD of 13, 556, 288, 412?

You can find a detailed procedure to find GCD of 13, 556, 288, 412 on our page.

3. How to find GCD of 13, 556, 288, 412 on a calculator?

You can find the GCD of 13, 556, 288, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.