GCD of 584, 288, 918 Calculator

Given Input numbers are 584, 288, 918

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 584, 288, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 288, 918 is 2.

Therefore, GCD of numbers 584, 288, 918 is 2

Given Input Data is 584, 288, 918

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(584, 288) = 21024

GCD(584, 288) = ( 584 x 288 ) / 21024

GCD(584, 288) = 168192 / 21024

GCD(584, 288) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 918

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

LCM(8, 918) = 3672

GCD(8, 918) = ( 8 x 918 ) / 3672

GCD(8, 918) = 7344 / 3672

GCD(8, 918) = 2

GCD of 584, 288, 918 is 2

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1. What is the GCD of 584, 288, 918?

GCD of 584, 288, 918 is 2

2. Where do I get the detailed procedure to find GCD of 584, 288, 918?

You can find a detailed procedure to find GCD of 584, 288, 918 on our page.

3. How to find GCD of 584, 288, 918 on a calculator?

You can find the GCD of 584, 288, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.