GCD of 442, 728, 130 Calculator

Given Input numbers are 442, 728, 130

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 442, 728, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 728, 130 is 26.

Therefore, GCD of numbers 442, 728, 130 is 26

Given Input Data is 442, 728, 130

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

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 130 is 2 x 5 x 13

Highest common occurrences in the given inputs are 13¹ x 2¹

Multiplying them we get the GCD as 26

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(442, 728) = 12376

GCD(442, 728) = ( 442 x 728 ) / 12376

GCD(442, 728) = 321776 / 12376

GCD(442, 728) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 130

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

LCM(26, 130) = 130

GCD(26, 130) = ( 26 x 130 ) / 130

GCD(26, 130) = 3380 / 130

GCD(26, 130) = 26

GCD of 442, 728, 130 is 26

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 989, 696
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• GCD of 804, 109, 670
• GCD of 445, 439, 388

1. What is the GCD of 442, 728, 130?

GCD of 442, 728, 130 is 26

2. Where do I get the detailed procedure to find GCD of 442, 728, 130?

You can find a detailed procedure to find GCD of 442, 728, 130 on our page.

3. How to find GCD of 442, 728, 130 on a calculator?

You can find the GCD of 442, 728, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.