GCD of 238, 512, 28, 527 Calculator

Given Input numbers are 238, 512, 28, 527

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 238, 512, 28, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 512, 28, 527 is 1.

Therefore, GCD of numbers 238, 512, 28, 527 is 1

Given Input Data is 238, 512, 28, 527

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

Prime Factorization of 238 is 2 x 7 x 17

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 28 is 2 x 2 x 7

Prime Factorization of 527 is 17 x 31

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(238, 512) = 60928

GCD(238, 512) = ( 238 x 512 ) / 60928

GCD(238, 512) = 121856 / 60928

GCD(238, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

GCD of 238, 512, 28, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 595, 78, 674
• GCD of 187, 478, 72, 832
• GCD of 937, 991, 73, 419
• GCD of 792, 999, 45, 624
• GCD of 365, 463, 21, 125

1. What is the GCD of 238, 512, 28, 527?

GCD of 238, 512, 28, 527 is 1

2. Where do I get the detailed procedure to find GCD of 238, 512, 28, 527?

You can find a detailed procedure to find GCD of 238, 512, 28, 527 on our page.

3. How to find GCD of 238, 512, 28, 527 on a calculator?

You can find the GCD of 238, 512, 28, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.