GCD of 864, 174, 86, 482 Calculator

Given Input numbers are 864, 174, 86, 482

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 864, 174, 86, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 174, 86, 482 is 2.

Therefore, GCD of numbers 864, 174, 86, 482 is 2

Given Input Data is 864, 174, 86, 482

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 174 is 2 x 3 x 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 482 is 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 174) = 25056

GCD(864, 174) = ( 864 x 174 ) / 25056

GCD(864, 174) = 150336 / 25056

GCD(864, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 86

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

LCM(6, 86) = 258

GCD(6, 86) = ( 6 x 86 ) / 258

GCD(6, 86) = 516 / 258

GCD(6, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 482

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

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

GCD(2, 482) = 964 / 482

GCD(2, 482) = 2

GCD of 864, 174, 86, 482 is 2

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• GCD of 605, 144, 35, 478
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1. What is the GCD of 864, 174, 86, 482?

GCD of 864, 174, 86, 482 is 2

2. Where do I get the detailed procedure to find GCD of 864, 174, 86, 482?

You can find a detailed procedure to find GCD of 864, 174, 86, 482 on our page.

3. How to find GCD of 864, 174, 86, 482 on a calculator?

You can find the GCD of 864, 174, 86, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.