GCD of 676, 286, 14, 442 Calculator

Given Input numbers are 676, 286, 14, 442

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 676, 286, 14, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 286, 14, 442 is 2.

Therefore, GCD of numbers 676, 286, 14, 442 is 2

Given Input Data is 676, 286, 14, 442

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 442 is 2 x 13 x 17

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(676, 286) = 7436

GCD(676, 286) = ( 676 x 286 ) / 7436

GCD(676, 286) = 193336 / 7436

GCD(676, 286) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 14

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

LCM(26, 14) = 182

GCD(26, 14) = ( 26 x 14 ) / 182

GCD(26, 14) = 364 / 182

GCD(26, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 676, 286, 14, 442 is 2

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1. What is the GCD of 676, 286, 14, 442?

GCD of 676, 286, 14, 442 is 2

2. Where do I get the detailed procedure to find GCD of 676, 286, 14, 442?

You can find a detailed procedure to find GCD of 676, 286, 14, 442 on our page.

3. How to find GCD of 676, 286, 14, 442 on a calculator?

You can find the GCD of 676, 286, 14, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.