GCD of 512, 382, 31, 451 Calculator

Given Input numbers are 512, 382, 31, 451

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

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 512, 382, 31, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 382, 31, 451 is 1.

Therefore, GCD of numbers 512, 382, 31, 451 is 1

Given Input Data is 512, 382, 31, 451

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

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 382 is 2 x 191

Prime Factorization of 31 is 31

Prime Factorization of 451 is 11 x 41

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(512, 382) = 97792

GCD(512, 382) = ( 512 x 382 ) / 97792

GCD(512, 382) = 195584 / 97792

GCD(512, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 512, 382, 31, 451 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 185, 28, 485
• GCD of 411, 114, 17, 620
• GCD of 907, 434, 26, 573
• GCD of 135, 862, 60, 631
• GCD of 265, 553, 32, 472

1. What is the GCD of 512, 382, 31, 451?

GCD of 512, 382, 31, 451 is 1

2. Where do I get the detailed procedure to find GCD of 512, 382, 31, 451?

You can find a detailed procedure to find GCD of 512, 382, 31, 451 on our page.

3. How to find GCD of 512, 382, 31, 451 on a calculator?

You can find the GCD of 512, 382, 31, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.