GCD of 864, 173, 648, 527 Calculator

Given Input numbers are 864, 173, 648, 527

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

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 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 864, 173, 648, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 173, 648, 527 is 1.

Therefore, GCD of numbers 864, 173, 648, 527 is 1

Given Input Data is 864, 173, 648, 527

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

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

Prime Factorization of 173 is 173

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 527 is 17 x 31

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(864, 173) = 149472

GCD(864, 173) = ( 864 x 173 ) / 149472

GCD(864, 173) = 149472 / 149472

GCD(864, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 864, 173, 648, 527 is 1

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1. What is the GCD of 864, 173, 648, 527?

GCD of 864, 173, 648, 527 is 1

2. Where do I get the detailed procedure to find GCD of 864, 173, 648, 527?

You can find a detailed procedure to find GCD of 864, 173, 648, 527 on our page.

3. How to find GCD of 864, 173, 648, 527 on a calculator?

You can find the GCD of 864, 173, 648, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.