GCD of 728, 874, 517, 445 Calculator

Given Input numbers are 728, 874, 517, 445

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 728, 874, 517, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 874, 517, 445 is 1.

Therefore, GCD of numbers 728, 874, 517, 445 is 1

Given Input Data is 728, 874, 517, 445

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 874 is 2 x 19 x 23

Prime Factorization of 517 is 11 x 47

Prime Factorization of 445 is 5 x 89

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, 874) = 318136

GCD(728, 874) = ( 728 x 874 ) / 318136

GCD(728, 874) = 636272 / 318136

GCD(728, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 728, 874, 517, 445 is 1

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1. What is the GCD of 728, 874, 517, 445?

GCD of 728, 874, 517, 445 is 1

2. Where do I get the detailed procedure to find GCD of 728, 874, 517, 445?

You can find a detailed procedure to find GCD of 728, 874, 517, 445 on our page.

3. How to find GCD of 728, 874, 517, 445 on a calculator?

You can find the GCD of 728, 874, 517, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.