GCD of 338, 743, 272, 361 Calculator

Given Input numbers are 338, 743, 272, 361

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 338, 743, 272, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 743, 272, 361 is 1.

Therefore, GCD of numbers 338, 743, 272, 361 is 1

Given Input Data is 338, 743, 272, 361

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 743 is 743

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

Prime Factorization of 361 is 19 x 19

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, 743) = 251134

GCD(338, 743) = ( 338 x 743 ) / 251134

GCD(338, 743) = 251134 / 251134

GCD(338, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 338, 743, 272, 361 is 1

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1. What is the GCD of 338, 743, 272, 361?

GCD of 338, 743, 272, 361 is 1

2. Where do I get the detailed procedure to find GCD of 338, 743, 272, 361?

You can find a detailed procedure to find GCD of 338, 743, 272, 361 on our page.

3. How to find GCD of 338, 743, 272, 361 on a calculator?

You can find the GCD of 338, 743, 272, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.