GCD of 801, 728, 679 Calculator

Given Input numbers are 801, 728, 679

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

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 679

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

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 801, 728, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 728, 679 is 1.

Therefore, GCD of numbers 801, 728, 679 is 1

Given Input Data is 801, 728, 679

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

Prime Factorization of 801 is 3 x 3 x 89

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

Prime Factorization of 679 is 7 x 97

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(801, 728) = 583128

GCD(801, 728) = ( 801 x 728 ) / 583128

GCD(801, 728) = 583128 / 583128

GCD(801, 728) = 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

GCD of 801, 728, 679 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 801, 728, 679?

GCD of 801, 728, 679 is 1

2. Where do I get the detailed procedure to find GCD of 801, 728, 679?

You can find a detailed procedure to find GCD of 801, 728, 679 on our page.

3. How to find GCD of 801, 728, 679 on a calculator?

You can find the GCD of 801, 728, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.