GCD of 128, 324, 38, 275 Calculator

Given Input numbers are 128, 324, 38, 275

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 128, 324, 38, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 324, 38, 275 is 1.

Therefore, GCD of numbers 128, 324, 38, 275 is 1

Given Input Data is 128, 324, 38, 275

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 275 is 5 x 5 x 11

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(128, 324) = 10368

GCD(128, 324) = ( 128 x 324 ) / 10368

GCD(128, 324) = 41472 / 10368

GCD(128, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 128, 324, 38, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 388, 57, 515
• GCD of 176, 319, 93, 479
• GCD of 302, 142, 13, 522
• GCD of 663, 716, 47, 775
• GCD of 891, 835, 99, 873

1. What is the GCD of 128, 324, 38, 275?

GCD of 128, 324, 38, 275 is 1

2. Where do I get the detailed procedure to find GCD of 128, 324, 38, 275?

You can find a detailed procedure to find GCD of 128, 324, 38, 275 on our page.

3. How to find GCD of 128, 324, 38, 275 on a calculator?

You can find the GCD of 128, 324, 38, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.