GCD of 208, 156, 294, 394 Calculator

Given Input numbers are 208, 156, 294, 394

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

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 208, 156, 294, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 156, 294, 394 is 2.

Therefore, GCD of numbers 208, 156, 294, 394 is 2

Given Input Data is 208, 156, 294, 394

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

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 394 is 2 x 197

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(208, 156) = 624

GCD(208, 156) = ( 208 x 156 ) / 624

GCD(208, 156) = 32448 / 624

GCD(208, 156) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 294

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

LCM(52, 294) = 7644

GCD(52, 294) = ( 52 x 294 ) / 7644

GCD(52, 294) = 15288 / 7644

GCD(52, 294) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 208, 156, 294, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 741, 486, 691
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• GCD of 724, 791, 429, 871

1. What is the GCD of 208, 156, 294, 394?

GCD of 208, 156, 294, 394 is 2

2. Where do I get the detailed procedure to find GCD of 208, 156, 294, 394?

You can find a detailed procedure to find GCD of 208, 156, 294, 394 on our page.

3. How to find GCD of 208, 156, 294, 394 on a calculator?

You can find the GCD of 208, 156, 294, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.