GCD of 278, 165, 14, 243 Calculator

Given Input numbers are 278, 165, 14, 243

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 14

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

1, 2, 7, 14

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 278, 165, 14, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 165, 14, 243 is 1.

Therefore, GCD of numbers 278, 165, 14, 243 is 1

Given Input Data is 278, 165, 14, 243

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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, 165) = 45870

GCD(278, 165) = ( 278 x 165 ) / 45870

GCD(278, 165) = 45870 / 45870

GCD(278, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 278, 165, 14, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 712, 87, 252
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• GCD of 262, 855, 26, 900

1. What is the GCD of 278, 165, 14, 243?

GCD of 278, 165, 14, 243 is 1

2. Where do I get the detailed procedure to find GCD of 278, 165, 14, 243?

You can find a detailed procedure to find GCD of 278, 165, 14, 243 on our page.

3. How to find GCD of 278, 165, 14, 243 on a calculator?

You can find the GCD of 278, 165, 14, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.