GCD of 238, 386, 270 Calculator

Given Input numbers are 238, 386, 270

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 238, 386, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 386, 270 is 2.

Therefore, GCD of numbers 238, 386, 270 is 2

Given Input Data is 238, 386, 270

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 386 is 2 x 193

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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, 386) = 45934

GCD(238, 386) = ( 238 x 386 ) / 45934

GCD(238, 386) = 91868 / 45934

GCD(238, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 238, 386, 270 is 2

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1. What is the GCD of 238, 386, 270?

GCD of 238, 386, 270 is 2

2. Where do I get the detailed procedure to find GCD of 238, 386, 270?

You can find a detailed procedure to find GCD of 238, 386, 270 on our page.

3. How to find GCD of 238, 386, 270 on a calculator?

You can find the GCD of 238, 386, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.