GCD of 284, 802, 728 Calculator

Given Input numbers are 284, 802, 728

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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 284, 802, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 802, 728 is 2.

Therefore, GCD of numbers 284, 802, 728 is 2

Given Input Data is 284, 802, 728

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 802 is 2 x 401

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(284, 802) = 113884

GCD(284, 802) = ( 284 x 802 ) / 113884

GCD(284, 802) = 227768 / 113884

GCD(284, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 284, 802, 728 is 2

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1. What is the GCD of 284, 802, 728?

GCD of 284, 802, 728 is 2

2. Where do I get the detailed procedure to find GCD of 284, 802, 728?

You can find a detailed procedure to find GCD of 284, 802, 728 on our page.

3. How to find GCD of 284, 802, 728 on a calculator?

You can find the GCD of 284, 802, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.