GCD of 899, 800, 30, 728 Calculator

Given Input numbers are 899, 800, 30, 728

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 899, 800, 30, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 800, 30, 728 is 1.

Therefore, GCD of numbers 899, 800, 30, 728 is 1

Given Input Data is 899, 800, 30, 728

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

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(899, 800) = 719200

GCD(899, 800) = ( 899 x 800 ) / 719200

GCD(899, 800) = 719200 / 719200

GCD(899, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 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 899, 800, 30, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 569, 15, 709
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• GCD of 864, 371, 21, 178

1. What is the GCD of 899, 800, 30, 728?

GCD of 899, 800, 30, 728 is 1

2. Where do I get the detailed procedure to find GCD of 899, 800, 30, 728?

You can find a detailed procedure to find GCD of 899, 800, 30, 728 on our page.

3. How to find GCD of 899, 800, 30, 728 on a calculator?

You can find the GCD of 899, 800, 30, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.