GCD of 238, 256, 348 Calculator

Given Input numbers are 238, 256, 348

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

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 238, 256, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 256, 348 is 2.

Therefore, GCD of numbers 238, 256, 348 is 2

Given Input Data is 238, 256, 348

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(238, 256) = 30464

GCD(238, 256) = ( 238 x 256 ) / 30464

GCD(238, 256) = 60928 / 30464

GCD(238, 256) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 238, 256, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 269, 839
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• GCD of 382, 826, 108
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1. What is the GCD of 238, 256, 348?

GCD of 238, 256, 348 is 2

2. Where do I get the detailed procedure to find GCD of 238, 256, 348?

You can find a detailed procedure to find GCD of 238, 256, 348 on our page.

3. How to find GCD of 238, 256, 348 on a calculator?

You can find the GCD of 238, 256, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.