GCD of 349, 555, 18, 288 Calculator

Given Input numbers are 349, 555, 18, 288

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 349, 555, 18, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 555, 18, 288 is 1.

Therefore, GCD of numbers 349, 555, 18, 288 is 1

Given Input Data is 349, 555, 18, 288

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

Prime Factorization of 349 is 349

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(349, 555) = 193695

GCD(349, 555) = ( 349 x 555 ) / 193695

GCD(349, 555) = 193695 / 193695

GCD(349, 555) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 349, 555, 18, 288 is 1

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1. What is the GCD of 349, 555, 18, 288?

GCD of 349, 555, 18, 288 is 1

2. Where do I get the detailed procedure to find GCD of 349, 555, 18, 288?

You can find a detailed procedure to find GCD of 349, 555, 18, 288 on our page.

3. How to find GCD of 349, 555, 18, 288 on a calculator?

You can find the GCD of 349, 555, 18, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.