GCD of 338, 122, 12, 488 Calculator

Given Input numbers are 338, 122, 12, 488

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 338, 122, 12, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 122, 12, 488 is 2.

Therefore, GCD of numbers 338, 122, 12, 488 is 2

Given Input Data is 338, 122, 12, 488

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(338, 122) = 20618

GCD(338, 122) = ( 338 x 122 ) / 20618

GCD(338, 122) = 41236 / 20618

GCD(338, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 338, 122, 12, 488 is 2

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1. What is the GCD of 338, 122, 12, 488?

GCD of 338, 122, 12, 488 is 2

2. Where do I get the detailed procedure to find GCD of 338, 122, 12, 488?

You can find a detailed procedure to find GCD of 338, 122, 12, 488 on our page.

3. How to find GCD of 338, 122, 12, 488 on a calculator?

You can find the GCD of 338, 122, 12, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.