GCD of 38, 272, 356, 403 Calculator

Given Input numbers are 38, 272, 356, 403

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 38, 272, 356, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 272, 356, 403 is 1.

Therefore, GCD of numbers 38, 272, 356, 403 is 1

Given Input Data is 38, 272, 356, 403

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 403 is 13 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(38, 272) = 5168

GCD(38, 272) = ( 38 x 272 ) / 5168

GCD(38, 272) = 10336 / 5168

GCD(38, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

GCD of 38, 272, 356, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 731, 307, 405
• GCD of 44, 311, 185, 263
• GCD of 36, 255, 661, 815
• GCD of 94, 135, 877, 194
• GCD of 53, 439, 902, 362

1. What is the GCD of 38, 272, 356, 403?

GCD of 38, 272, 356, 403 is 1

2. Where do I get the detailed procedure to find GCD of 38, 272, 356, 403?

You can find a detailed procedure to find GCD of 38, 272, 356, 403 on our page.

3. How to find GCD of 38, 272, 356, 403 on a calculator?

You can find the GCD of 38, 272, 356, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.