GCD of 482, 666, 348, 728 Calculator

Given Input numbers are 482, 666, 348, 728

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 482, 666, 348, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 666, 348, 728 is 2.

Therefore, GCD of numbers 482, 666, 348, 728 is 2

Given Input Data is 482, 666, 348, 728

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(482, 666) = 160506

GCD(482, 666) = ( 482 x 666 ) / 160506

GCD(482, 666) = 321012 / 160506

GCD(482, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

Step3:

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 482, 666, 348, 728 is 2

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1. What is the GCD of 482, 666, 348, 728?

GCD of 482, 666, 348, 728 is 2

2. Where do I get the detailed procedure to find GCD of 482, 666, 348, 728?

You can find a detailed procedure to find GCD of 482, 666, 348, 728 on our page.

3. How to find GCD of 482, 666, 348, 728 on a calculator?

You can find the GCD of 482, 666, 348, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.