GCD of 338, 270, 734 Calculator

Given Input numbers are 338, 270, 734

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 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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 338, 270, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 270, 734 is 2.

Therefore, GCD of numbers 338, 270, 734 is 2

Given Input Data is 338, 270, 734

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 734 is 2 x 367

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, 270) = 45630

GCD(338, 270) = ( 338 x 270 ) / 45630

GCD(338, 270) = 91260 / 45630

GCD(338, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 338, 270, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 265, 888
• GCD of 470, 187, 790
• GCD of 269, 106, 283
• GCD of 571, 872, 307
• GCD of 194, 986, 435

1. What is the GCD of 338, 270, 734?

GCD of 338, 270, 734 is 2

2. Where do I get the detailed procedure to find GCD of 338, 270, 734?

You can find a detailed procedure to find GCD of 338, 270, 734 on our page.

3. How to find GCD of 338, 270, 734 on a calculator?

You can find the GCD of 338, 270, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.