GCD of 338, 741, 814, 728 Calculator

Given Input numbers are 338, 741, 814, 728

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 338, 741, 814, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 741, 814, 728 is 1.

Therefore, GCD of numbers 338, 741, 814, 728 is 1

Given Input Data is 338, 741, 814, 728

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 728 is 2 x 2 x 2 x 7 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(338, 741) = 19266

GCD(338, 741) = ( 338 x 741 ) / 19266

GCD(338, 741) = 250458 / 19266

GCD(338, 741) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 814

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

LCM(13, 814) = 10582

GCD(13, 814) = ( 13 x 814 ) / 10582

GCD(13, 814) = 10582 / 10582

GCD(13, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 338, 741, 814, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 113, 552, 498
• GCD of 365, 261, 177, 816
• GCD of 972, 670, 543, 683
• GCD of 943, 656, 703, 221
• GCD of 833, 578, 872, 616

1. What is the GCD of 338, 741, 814, 728?

GCD of 338, 741, 814, 728 is 1

2. Where do I get the detailed procedure to find GCD of 338, 741, 814, 728?

You can find a detailed procedure to find GCD of 338, 741, 814, 728 on our page.

3. How to find GCD of 338, 741, 814, 728 on a calculator?

You can find the GCD of 338, 741, 814, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.