GCD of 994, 208, 234, 336 Calculator

Given Input numbers are 994, 208, 234, 336

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

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 994, 208, 234, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 208, 234, 336 is 2.

Therefore, GCD of numbers 994, 208, 234, 336 is 2

Given Input Data is 994, 208, 234, 336

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(994, 208) = 103376

GCD(994, 208) = ( 994 x 208 ) / 103376

GCD(994, 208) = 206752 / 103376

GCD(994, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

GCD of 994, 208, 234, 336 is 2

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1. What is the GCD of 994, 208, 234, 336?

GCD of 994, 208, 234, 336 is 2

2. Where do I get the detailed procedure to find GCD of 994, 208, 234, 336?

You can find a detailed procedure to find GCD of 994, 208, 234, 336 on our page.

3. How to find GCD of 994, 208, 234, 336 on a calculator?

You can find the GCD of 994, 208, 234, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.