GCD of 726, 721, 728, 295 Calculator

Given Input numbers are 726, 721, 728, 295

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 726, 721, 728, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 721, 728, 295 is 1.

Therefore, GCD of numbers 726, 721, 728, 295 is 1

Given Input Data is 726, 721, 728, 295

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 721 is 7 x 103

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

Prime Factorization of 295 is 5 x 59

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(726, 721) = 523446

GCD(726, 721) = ( 726 x 721 ) / 523446

GCD(726, 721) = 523446 / 523446

GCD(726, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 726, 721, 728, 295 is 1

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1. What is the GCD of 726, 721, 728, 295?

GCD of 726, 721, 728, 295 is 1

2. Where do I get the detailed procedure to find GCD of 726, 721, 728, 295?

You can find a detailed procedure to find GCD of 726, 721, 728, 295 on our page.

3. How to find GCD of 726, 721, 728, 295 on a calculator?

You can find the GCD of 726, 721, 728, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.