GCD of 288, 418, 815, 434 Calculator

Given Input numbers are 288, 418, 815, 434

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

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 288, 418, 815, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 418, 815, 434 is 1.

Therefore, GCD of numbers 288, 418, 815, 434 is 1

Given Input Data is 288, 418, 815, 434

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

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 815 is 5 x 163

Prime Factorization of 434 is 2 x 7 x 31

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(288, 418) = 60192

GCD(288, 418) = ( 288 x 418 ) / 60192

GCD(288, 418) = 120384 / 60192

GCD(288, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 288, 418, 815, 434 is 1

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1. What is the GCD of 288, 418, 815, 434?

GCD of 288, 418, 815, 434 is 1

2. Where do I get the detailed procedure to find GCD of 288, 418, 815, 434?

You can find a detailed procedure to find GCD of 288, 418, 815, 434 on our page.

3. How to find GCD of 288, 418, 815, 434 on a calculator?

You can find the GCD of 288, 418, 815, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.