GCD of 728, 455, 561, 297 Calculator

Given Input numbers are 728, 455, 561, 297

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 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 728, 455, 561, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 455, 561, 297 is 1.

Therefore, GCD of numbers 728, 455, 561, 297 is 1

Given Input Data is 728, 455, 561, 297

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 455 is 5 x 7 x 13

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 455) = 3640

GCD(728, 455) = ( 728 x 455 ) / 3640

GCD(728, 455) = 331240 / 3640

GCD(728, 455) = 91

Step2:

Here we consider the GCD from the above i.e. 91 as first number and the next as 561

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

LCM(91, 561) = 51051

GCD(91, 561) = ( 91 x 561 ) / 51051

GCD(91, 561) = 51051 / 51051

GCD(91, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 728, 455, 561, 297 is 1

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1. What is the GCD of 728, 455, 561, 297?

GCD of 728, 455, 561, 297 is 1

2. Where do I get the detailed procedure to find GCD of 728, 455, 561, 297?

You can find a detailed procedure to find GCD of 728, 455, 561, 297 on our page.

3. How to find GCD of 728, 455, 561, 297 on a calculator?

You can find the GCD of 728, 455, 561, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.