GCD of 728, 644, 29, 235 Calculator

Given Input numbers are 728, 644, 29, 235

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 728, 644, 29, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 644, 29, 235 is 1.

Therefore, GCD of numbers 728, 644, 29, 235 is 1

Given Input Data is 728, 644, 29, 235

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 29 is 29

Prime Factorization of 235 is 5 x 47

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, 644) = 16744

GCD(728, 644) = ( 728 x 644 ) / 16744

GCD(728, 644) = 468832 / 16744

GCD(728, 644) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 29

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

LCM(28, 29) = 812

GCD(28, 29) = ( 28 x 29 ) / 812

GCD(28, 29) = 812 / 812

GCD(28, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 728, 644, 29, 235 is 1

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• GCD of 280, 524, 75, 552
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1. What is the GCD of 728, 644, 29, 235?

GCD of 728, 644, 29, 235 is 1

2. Where do I get the detailed procedure to find GCD of 728, 644, 29, 235?

You can find a detailed procedure to find GCD of 728, 644, 29, 235 on our page.

3. How to find GCD of 728, 644, 29, 235 on a calculator?

You can find the GCD of 728, 644, 29, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.