GCD of 538, 182, 14, 404 Calculator

Given Input numbers are 538, 182, 14, 404

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 14

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

1, 2, 7, 14

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 538, 182, 14, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 182, 14, 404 is 2.

Therefore, GCD of numbers 538, 182, 14, 404 is 2

Given Input Data is 538, 182, 14, 404

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 404 is 2 x 2 x 101

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(538, 182) = 48958

GCD(538, 182) = ( 538 x 182 ) / 48958

GCD(538, 182) = 97916 / 48958

GCD(538, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 538, 182, 14, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 656, 42, 874
• GCD of 456, 795, 61, 805
• GCD of 902, 325, 86, 294
• GCD of 118, 447, 15, 146
• GCD of 975, 123, 35, 132

1. What is the GCD of 538, 182, 14, 404?

GCD of 538, 182, 14, 404 is 2

2. Where do I get the detailed procedure to find GCD of 538, 182, 14, 404?

You can find a detailed procedure to find GCD of 538, 182, 14, 404 on our page.

3. How to find GCD of 538, 182, 14, 404 on a calculator?

You can find the GCD of 538, 182, 14, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.