GCD of 728, 241, 535 Calculator

Given Input numbers are 728, 241, 535

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 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 728, 241, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 241, 535 is 1.

Therefore, GCD of numbers 728, 241, 535 is 1

Given Input Data is 728, 241, 535

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 535 is 5 x 107

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 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 728, 241, 535 is 1

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1. What is the GCD of 728, 241, 535?

GCD of 728, 241, 535 is 1

2. Where do I get the detailed procedure to find GCD of 728, 241, 535?

You can find a detailed procedure to find GCD of 728, 241, 535 on our page.

3. How to find GCD of 728, 241, 535 on a calculator?

You can find the GCD of 728, 241, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.