GCD of 512, 561, 41, 581 Calculator

Given Input numbers are 512, 561, 41, 581

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 512, 561, 41, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 561, 41, 581 is 1.

Therefore, GCD of numbers 512, 561, 41, 581 is 1

Given Input Data is 512, 561, 41, 581

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 41 is 41

Prime Factorization of 581 is 7 x 83

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(512, 561) = 287232

GCD(512, 561) = ( 512 x 561 ) / 287232

GCD(512, 561) = 287232 / 287232

GCD(512, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 512, 561, 41, 581 is 1

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1. What is the GCD of 512, 561, 41, 581?

GCD of 512, 561, 41, 581 is 1

2. Where do I get the detailed procedure to find GCD of 512, 561, 41, 581?

You can find a detailed procedure to find GCD of 512, 561, 41, 581 on our page.

3. How to find GCD of 512, 561, 41, 581 on a calculator?

You can find the GCD of 512, 561, 41, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.