GCD of 288, 558, 340 Calculator

Given Input numbers are 288, 558, 340

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 288, 558, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 558, 340 is 2.

Therefore, GCD of numbers 288, 558, 340 is 2

Given Input Data is 288, 558, 340

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 558 is 2 x 3 x 3 x 31

Prime Factorization of 340 is 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 558) = 8928

GCD(288, 558) = ( 288 x 558 ) / 8928

GCD(288, 558) = 160704 / 8928

GCD(288, 558) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 340

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

LCM(18, 340) = 3060

GCD(18, 340) = ( 18 x 340 ) / 3060

GCD(18, 340) = 6120 / 3060

GCD(18, 340) = 2

GCD of 288, 558, 340 is 2

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1. What is the GCD of 288, 558, 340?

GCD of 288, 558, 340 is 2

2. Where do I get the detailed procedure to find GCD of 288, 558, 340?

You can find a detailed procedure to find GCD of 288, 558, 340 on our page.

3. How to find GCD of 288, 558, 340 on a calculator?

You can find the GCD of 288, 558, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.