GCD of 408, 560, 432, 558 Calculator

Given Input numbers are 408, 560, 432, 558

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

Greatest Common Divisior

We found the divisors of 408, 560, 432, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 560, 432, 558 is 2.

Therefore, GCD of numbers 408, 560, 432, 558 is 2

Given Input Data is 408, 560, 432, 558

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(408, 560) = 28560

GCD(408, 560) = ( 408 x 560 ) / 28560

GCD(408, 560) = 228480 / 28560

GCD(408, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 432

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

LCM(8, 432) = 432

GCD(8, 432) = ( 8 x 432 ) / 432

GCD(8, 432) = 3456 / 432

GCD(8, 432) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 558

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

LCM(8, 558) = 2232

GCD(8, 558) = ( 8 x 558 ) / 2232

GCD(8, 558) = 4464 / 2232

GCD(8, 558) = 2

GCD of 408, 560, 432, 558 is 2

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1. What is the GCD of 408, 560, 432, 558?

GCD of 408, 560, 432, 558 is 2

2. Where do I get the detailed procedure to find GCD of 408, 560, 432, 558?

You can find a detailed procedure to find GCD of 408, 560, 432, 558 on our page.

3. How to find GCD of 408, 560, 432, 558 on a calculator?

You can find the GCD of 408, 560, 432, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.