GCD of 259, 288, 394, 349 Calculator

Given Input numbers are 259, 288, 394, 349

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 259, 288, 394, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 288, 394, 349 is 1.

Therefore, GCD of numbers 259, 288, 394, 349 is 1

Given Input Data is 259, 288, 394, 349

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 394 is 2 x 197

Prime Factorization of 349 is 349

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(259, 288) = 74592

GCD(259, 288) = ( 259 x 288 ) / 74592

GCD(259, 288) = 74592 / 74592

GCD(259, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 259, 288, 394, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 164, 377, 895
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• GCD of 576, 250, 911, 604

1. What is the GCD of 259, 288, 394, 349?

GCD of 259, 288, 394, 349 is 1

2. Where do I get the detailed procedure to find GCD of 259, 288, 394, 349?

You can find a detailed procedure to find GCD of 259, 288, 394, 349 on our page.

3. How to find GCD of 259, 288, 394, 349 on a calculator?

You can find the GCD of 259, 288, 394, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.