GCD of 523, 864, 257 Calculator

Given Input numbers are 523, 864, 257

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 523, 864, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 864, 257 is 1.

Therefore, GCD of numbers 523, 864, 257 is 1

Given Input Data is 523, 864, 257

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

Prime Factorization of 523 is 523

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 257 is 257

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(523, 864) = 451872

GCD(523, 864) = ( 523 x 864 ) / 451872

GCD(523, 864) = 451872 / 451872

GCD(523, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 523, 864, 257 is 1

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1. What is the GCD of 523, 864, 257?

GCD of 523, 864, 257 is 1

2. Where do I get the detailed procedure to find GCD of 523, 864, 257?

You can find a detailed procedure to find GCD of 523, 864, 257 on our page.

3. How to find GCD of 523, 864, 257 on a calculator?

You can find the GCD of 523, 864, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.