GCD of 408, 984, 288, 524 Calculator

Given Input numbers are 408, 984, 288, 524

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 408, 984, 288, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 984, 288, 524 is 4.

Therefore, GCD of numbers 408, 984, 288, 524 is 4

Given Input Data is 408, 984, 288, 524

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Prime Factorization of 524 is 2 x 2 x 131

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(408, 984) = 16728

GCD(408, 984) = ( 408 x 984 ) / 16728

GCD(408, 984) = 401472 / 16728

GCD(408, 984) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 288

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

LCM(24, 288) = 288

GCD(24, 288) = ( 24 x 288 ) / 288

GCD(24, 288) = 6912 / 288

GCD(24, 288) = 24

Step3:

Here we consider the GCD from the above i.e. 24 as first number and the next as 524

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

LCM(24, 524) = 3144

GCD(24, 524) = ( 24 x 524 ) / 3144

GCD(24, 524) = 12576 / 3144

GCD(24, 524) = 4

GCD of 408, 984, 288, 524 is 4

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1. What is the GCD of 408, 984, 288, 524?

GCD of 408, 984, 288, 524 is 4

2. Where do I get the detailed procedure to find GCD of 408, 984, 288, 524?

You can find a detailed procedure to find GCD of 408, 984, 288, 524 on our page.

3. How to find GCD of 408, 984, 288, 524 on a calculator?

You can find the GCD of 408, 984, 288, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.