GCD of 136, 493, 13, 338 Calculator

Given Input numbers are 136, 493, 13, 338

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 136, 493, 13, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 493, 13, 338 is 1.

Therefore, GCD of numbers 136, 493, 13, 338 is 1

Given Input Data is 136, 493, 13, 338

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 493 is 17 x 29

Prime Factorization of 13 is 13

Prime Factorization of 338 is 2 x 13 x 13

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(136, 493) = 3944

GCD(136, 493) = ( 136 x 493 ) / 3944

GCD(136, 493) = 67048 / 3944

GCD(136, 493) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 13

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

LCM(17, 13) = 221

GCD(17, 13) = ( 17 x 13 ) / 221

GCD(17, 13) = 221 / 221

GCD(17, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 136, 493, 13, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 901, 22, 372
• GCD of 388, 707, 45, 304
• GCD of 363, 294, 64, 873
• GCD of 939, 356, 24, 835
• GCD of 251, 533, 36, 669

1. What is the GCD of 136, 493, 13, 338?

GCD of 136, 493, 13, 338 is 1

2. Where do I get the detailed procedure to find GCD of 136, 493, 13, 338?

You can find a detailed procedure to find GCD of 136, 493, 13, 338 on our page.

3. How to find GCD of 136, 493, 13, 338 on a calculator?

You can find the GCD of 136, 493, 13, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.