GCD of 16, 994, 462, 338 Calculator

Given Input numbers are 16, 994, 462, 338

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 16, 994, 462, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 994, 462, 338 is 2.

Therefore, GCD of numbers 16, 994, 462, 338 is 2

Given Input Data is 16, 994, 462, 338

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 338 is 2 x 13 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(16, 994) = 7952

GCD(16, 994) = ( 16 x 994 ) / 7952

GCD(16, 994) = 15904 / 7952

GCD(16, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 16, 994, 462, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 742, 534, 785
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• GCD of 39, 194, 879, 588

1. What is the GCD of 16, 994, 462, 338?

GCD of 16, 994, 462, 338 is 2

2. Where do I get the detailed procedure to find GCD of 16, 994, 462, 338?

You can find a detailed procedure to find GCD of 16, 994, 462, 338 on our page.

3. How to find GCD of 16, 994, 462, 338 on a calculator?

You can find the GCD of 16, 994, 462, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.