GCD of 299, 766, 259, 288 Calculator

Given Input numbers are 299, 766, 259, 288

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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

Greatest Common Divisior

We found the divisors of 299, 766, 259, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 766, 259, 288 is 1.

Therefore, GCD of numbers 299, 766, 259, 288 is 1

Given Input Data is 299, 766, 259, 288

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 766 is 2 x 383

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

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(299, 766) = 229034

GCD(299, 766) = ( 299 x 766 ) / 229034

GCD(299, 766) = 229034 / 229034

GCD(299, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 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 299, 766, 259, 288 is 1

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1. What is the GCD of 299, 766, 259, 288?

GCD of 299, 766, 259, 288 is 1

2. Where do I get the detailed procedure to find GCD of 299, 766, 259, 288?

You can find a detailed procedure to find GCD of 299, 766, 259, 288 on our page.

3. How to find GCD of 299, 766, 259, 288 on a calculator?

You can find the GCD of 299, 766, 259, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.