GCD of 338, 238, 736 Calculator

Given Input numbers are 338, 238, 736

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 338, 238, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 238, 736 is 2.

Therefore, GCD of numbers 338, 238, 736 is 2

Given Input Data is 338, 238, 736

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 238 is 2 x 7 x 17

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(338, 238) = 40222

GCD(338, 238) = ( 338 x 238 ) / 40222

GCD(338, 238) = 80444 / 40222

GCD(338, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 338, 238, 736 is 2

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1. What is the GCD of 338, 238, 736?

GCD of 338, 238, 736 is 2

2. Where do I get the detailed procedure to find GCD of 338, 238, 736?

You can find a detailed procedure to find GCD of 338, 238, 736 on our page.

3. How to find GCD of 338, 238, 736 on a calculator?

You can find the GCD of 338, 238, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.