GCD of 281, 320, 38, 412 Calculator

Given Input numbers are 281, 320, 38, 412

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 38

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

1, 2, 19, 38

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 281, 320, 38, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 320, 38, 412 is 1.

Therefore, GCD of numbers 281, 320, 38, 412 is 1

Given Input Data is 281, 320, 38, 412

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

Prime Factorization of 281 is 281

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 38 is 2 x 19

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(281, 320) = 89920

GCD(281, 320) = ( 281 x 320 ) / 89920

GCD(281, 320) = 89920 / 89920

GCD(281, 320) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 281, 320, 38, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 123, 90, 717
• GCD of 406, 286, 52, 379
• GCD of 581, 266, 96, 250
• GCD of 262, 916, 84, 588
• GCD of 322, 811, 86, 171

1. What is the GCD of 281, 320, 38, 412?

GCD of 281, 320, 38, 412 is 1

2. Where do I get the detailed procedure to find GCD of 281, 320, 38, 412?

You can find a detailed procedure to find GCD of 281, 320, 38, 412 on our page.

3. How to find GCD of 281, 320, 38, 412 on a calculator?

You can find the GCD of 281, 320, 38, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.