GCD of 728, 799, 46, 891 Calculator

Given Input numbers are 728, 799, 46, 891

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 728, 799, 46, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 799, 46, 891 is 1.

Therefore, GCD of numbers 728, 799, 46, 891 is 1

Given Input Data is 728, 799, 46, 891

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 799 is 17 x 47

Prime Factorization of 46 is 2 x 23

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 799) = 581672

GCD(728, 799) = ( 728 x 799 ) / 581672

GCD(728, 799) = 581672 / 581672

GCD(728, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 728, 799, 46, 891 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 394, 99, 318
• GCD of 413, 655, 39, 314
• GCD of 600, 372, 77, 542
• GCD of 216, 462, 34, 551
• GCD of 260, 988, 97, 568

1. What is the GCD of 728, 799, 46, 891?

GCD of 728, 799, 46, 891 is 1

2. Where do I get the detailed procedure to find GCD of 728, 799, 46, 891?

You can find a detailed procedure to find GCD of 728, 799, 46, 891 on our page.

3. How to find GCD of 728, 799, 46, 891 on a calculator?

You can find the GCD of 728, 799, 46, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.