GCD of 278, 270, 14, 309 Calculator

Given Input numbers are 278, 270, 14, 309

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 278, 270, 14, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 270, 14, 309 is 1.

Therefore, GCD of numbers 278, 270, 14, 309 is 1

Given Input Data is 278, 270, 14, 309

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

Prime Factorization of 278 is 2 x 139

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 309 is 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

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(278, 270) = 37530

GCD(278, 270) = ( 278 x 270 ) / 37530

GCD(278, 270) = 75060 / 37530

GCD(278, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 278, 270, 14, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 351, 37, 700
• GCD of 266, 529, 13, 437
• GCD of 193, 333, 65, 744
• GCD of 854, 928, 33, 460
• GCD of 222, 709, 53, 321

1. What is the GCD of 278, 270, 14, 309?

GCD of 278, 270, 14, 309 is 1

2. Where do I get the detailed procedure to find GCD of 278, 270, 14, 309?

You can find a detailed procedure to find GCD of 278, 270, 14, 309 on our page.

3. How to find GCD of 278, 270, 14, 309 on a calculator?

You can find the GCD of 278, 270, 14, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.