GCD of 532, 576, 261 Calculator

Given Input numbers are 532, 576, 261

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 532, 576, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 576, 261 is 1.

Therefore, GCD of numbers 532, 576, 261 is 1

Given Input Data is 532, 576, 261

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 261 is 3 x 3 x 29

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(532, 576) = 76608

GCD(532, 576) = ( 532 x 576 ) / 76608

GCD(532, 576) = 306432 / 76608

GCD(532, 576) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 261

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

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

GCD(4, 261) = 1044 / 1044

GCD(4, 261) = 1

GCD of 532, 576, 261 is 1

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1. What is the GCD of 532, 576, 261?

GCD of 532, 576, 261 is 1

2. Where do I get the detailed procedure to find GCD of 532, 576, 261?

You can find a detailed procedure to find GCD of 532, 576, 261 on our page.

3. How to find GCD of 532, 576, 261 on a calculator?

You can find the GCD of 532, 576, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.