GCD of 26, 171, 679, 728 Calculator

Given Input numbers are 26, 171, 679, 728

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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

Greatest Common Divisior

We found the divisors of 26, 171, 679, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 171, 679, 728 is 1.

Therefore, GCD of numbers 26, 171, 679, 728 is 1

Given Input Data is 26, 171, 679, 728

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 679 is 7 x 97

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

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(26, 171) = 4446

GCD(26, 171) = ( 26 x 171 ) / 4446

GCD(26, 171) = 4446 / 4446

GCD(26, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

Step3:

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

GCD of 26, 171, 679, 728 is 1

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• GCD of 76, 275, 201, 509
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• GCD of 19, 738, 873, 841

1. What is the GCD of 26, 171, 679, 728?

GCD of 26, 171, 679, 728 is 1

2. Where do I get the detailed procedure to find GCD of 26, 171, 679, 728?

You can find a detailed procedure to find GCD of 26, 171, 679, 728 on our page.

3. How to find GCD of 26, 171, 679, 728 on a calculator?

You can find the GCD of 26, 171, 679, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.