GCD of 728, 241, 764, 342 Calculator

Given Input numbers are 728, 241, 764, 342

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

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 728, 241, 764, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 241, 764, 342 is 1.

Therefore, GCD of numbers 728, 241, 764, 342 is 1

Given Input Data is 728, 241, 764, 342

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 241 is 241

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 342 is 2 x 3 x 3 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(728, 241) = 175448

GCD(728, 241) = ( 728 x 241 ) / 175448

GCD(728, 241) = 175448 / 175448

GCD(728, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 728, 241, 764, 342 is 1

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1. What is the GCD of 728, 241, 764, 342?

GCD of 728, 241, 764, 342 is 1

2. Where do I get the detailed procedure to find GCD of 728, 241, 764, 342?

You can find a detailed procedure to find GCD of 728, 241, 764, 342 on our page.

3. How to find GCD of 728, 241, 764, 342 on a calculator?

You can find the GCD of 728, 241, 764, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.