GCD of 144, 512, 13, 251 Calculator

Given Input numbers are 144, 512, 13, 251

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 13

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

1, 13

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 144, 512, 13, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 512, 13, 251 is 1.

Therefore, GCD of numbers 144, 512, 13, 251 is 1

Given Input Data is 144, 512, 13, 251

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 13 is 13

Prime Factorization of 251 is 251

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(144, 512) = 4608

GCD(144, 512) = ( 144 x 512 ) / 4608

GCD(144, 512) = 73728 / 4608

GCD(144, 512) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 13

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

LCM(16, 13) = 208

GCD(16, 13) = ( 16 x 13 ) / 208

GCD(16, 13) = 208 / 208

GCD(16, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 144, 512, 13, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 217, 55, 463
• GCD of 114, 601, 72, 143
• GCD of 315, 651, 42, 678
• GCD of 564, 181, 28, 201
• GCD of 313, 661, 98, 285

1. What is the GCD of 144, 512, 13, 251?

GCD of 144, 512, 13, 251 is 1

2. Where do I get the detailed procedure to find GCD of 144, 512, 13, 251?

You can find a detailed procedure to find GCD of 144, 512, 13, 251 on our page.

3. How to find GCD of 144, 512, 13, 251 on a calculator?

You can find the GCD of 144, 512, 13, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.