GCD of 725, 203, 728, 281 Calculator

Given Input numbers are 725, 203, 728, 281

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

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 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 725, 203, 728, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 203, 728, 281 is 1.

Therefore, GCD of numbers 725, 203, 728, 281 is 1

Given Input Data is 725, 203, 728, 281

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 203 is 7 x 29

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

Prime Factorization of 281 is 281

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(725, 203) = 5075

GCD(725, 203) = ( 725 x 203 ) / 5075

GCD(725, 203) = 147175 / 5075

GCD(725, 203) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 728

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

LCM(29, 728) = 21112

GCD(29, 728) = ( 29 x 728 ) / 21112

GCD(29, 728) = 21112 / 21112

GCD(29, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 725, 203, 728, 281 is 1

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• GCD of 711, 280, 502, 550
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• GCD of 712, 472, 172, 156

1. What is the GCD of 725, 203, 728, 281?

GCD of 725, 203, 728, 281 is 1

2. Where do I get the detailed procedure to find GCD of 725, 203, 728, 281?

You can find a detailed procedure to find GCD of 725, 203, 728, 281 on our page.

3. How to find GCD of 725, 203, 728, 281 on a calculator?

You can find the GCD of 725, 203, 728, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.