GCD of 38, 781, 203, 512 Calculator

Given Input numbers are 38, 781, 203, 512

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

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

Greatest Common Divisior

We found the divisors of 38, 781, 203, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 781, 203, 512 is 1.

Therefore, GCD of numbers 38, 781, 203, 512 is 1

Given Input Data is 38, 781, 203, 512

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 781 is 11 x 71

Prime Factorization of 203 is 7 x 29

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

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(38, 781) = 29678

GCD(38, 781) = ( 38 x 781 ) / 29678

GCD(38, 781) = 29678 / 29678

GCD(38, 781) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 38, 781, 203, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 293, 380, 911
• GCD of 84, 338, 386, 316
• GCD of 66, 810, 817, 317
• GCD of 71, 759, 429, 721
• GCD of 83, 178, 814, 489

1. What is the GCD of 38, 781, 203, 512?

GCD of 38, 781, 203, 512 is 1

2. Where do I get the detailed procedure to find GCD of 38, 781, 203, 512?

You can find a detailed procedure to find GCD of 38, 781, 203, 512 on our page.

3. How to find GCD of 38, 781, 203, 512 on a calculator?

You can find the GCD of 38, 781, 203, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.