GCD of 394, 334, 138 Calculator

Given Input numbers are 394, 334, 138

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

Divisors of 394

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

1, 2, 197, 394

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 394, 334, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 334, 138 is 2.

Therefore, GCD of numbers 394, 334, 138 is 2

Given Input Data is 394, 334, 138

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 334 is 2 x 167

Prime Factorization of 138 is 2 x 3 x 23

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(394, 334) = 65798

GCD(394, 334) = ( 394 x 334 ) / 65798

GCD(394, 334) = 131596 / 65798

GCD(394, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 394, 334, 138 is 2

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1. What is the GCD of 394, 334, 138?

GCD of 394, 334, 138 is 2

2. Where do I get the detailed procedure to find GCD of 394, 334, 138?

You can find a detailed procedure to find GCD of 394, 334, 138 on our page.

3. How to find GCD of 394, 334, 138 on a calculator?

You can find the GCD of 394, 334, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.