GCD of 864, 499, 71, 171 Calculator

Given Input numbers are 864, 499, 71, 171

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 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 864, 499, 71, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 499, 71, 171 is 1.

Therefore, GCD of numbers 864, 499, 71, 171 is 1

Given Input Data is 864, 499, 71, 171

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 499 is 499

Prime Factorization of 71 is 71

Prime Factorization of 171 is 3 x 3 x 19

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, 499) = 431136

GCD(864, 499) = ( 864 x 499 ) / 431136

GCD(864, 499) = 431136 / 431136

GCD(864, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 864, 499, 71, 171 is 1

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1. What is the GCD of 864, 499, 71, 171?

GCD of 864, 499, 71, 171 is 1

2. Where do I get the detailed procedure to find GCD of 864, 499, 71, 171?

You can find a detailed procedure to find GCD of 864, 499, 71, 171 on our page.

3. How to find GCD of 864, 499, 71, 171 on a calculator?

You can find the GCD of 864, 499, 71, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.