GCD of 286, 338, 270 Calculator

Given Input numbers are 286, 338, 270

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 286, 338, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 338, 270 is 2.

Therefore, GCD of numbers 286, 338, 270 is 2

Given Input Data is 286, 338, 270

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 338 is 2 x 13 x 13

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(286, 338) = 3718

GCD(286, 338) = ( 286 x 338 ) / 3718

GCD(286, 338) = 96668 / 3718

GCD(286, 338) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 270

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

LCM(26, 270) = 3510

GCD(26, 270) = ( 26 x 270 ) / 3510

GCD(26, 270) = 7020 / 3510

GCD(26, 270) = 2

GCD of 286, 338, 270 is 2

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1. What is the GCD of 286, 338, 270?

GCD of 286, 338, 270 is 2

2. Where do I get the detailed procedure to find GCD of 286, 338, 270?

You can find a detailed procedure to find GCD of 286, 338, 270 on our page.

3. How to find GCD of 286, 338, 270 on a calculator?

You can find the GCD of 286, 338, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.