GCD of 289, 304, 304, 107 Calculator

Given Input numbers are 289, 304, 304, 107

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 289, 304, 304, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 304, 304, 107 is 1.

Therefore, GCD of numbers 289, 304, 304, 107 is 1

Given Input Data is 289, 304, 304, 107

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 107 is 107

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(289, 304) = 87856

GCD(289, 304) = ( 289 x 304 ) / 87856

GCD(289, 304) = 87856 / 87856

GCD(289, 304) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 289, 304, 304, 107 is 1

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1. What is the GCD of 289, 304, 304, 107?

GCD of 289, 304, 304, 107 is 1

2. Where do I get the detailed procedure to find GCD of 289, 304, 304, 107?

You can find a detailed procedure to find GCD of 289, 304, 304, 107 on our page.

3. How to find GCD of 289, 304, 304, 107 on a calculator?

You can find the GCD of 289, 304, 304, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.