GCD of 384, 860, 86, 812 Calculator

Given Input numbers are 384, 860, 86, 812

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 86

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

1, 2, 43, 86

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 384, 860, 86, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 860, 86, 812 is 2.

Therefore, GCD of numbers 384, 860, 86, 812 is 2

Given Input Data is 384, 860, 86, 812

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 86 is 2 x 43

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(384, 860) = 82560

GCD(384, 860) = ( 384 x 860 ) / 82560

GCD(384, 860) = 330240 / 82560

GCD(384, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

GCD of 384, 860, 86, 812 is 2

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1. What is the GCD of 384, 860, 86, 812?

GCD of 384, 860, 86, 812 is 2

2. Where do I get the detailed procedure to find GCD of 384, 860, 86, 812?

You can find a detailed procedure to find GCD of 384, 860, 86, 812 on our page.

3. How to find GCD of 384, 860, 86, 812 on a calculator?

You can find the GCD of 384, 860, 86, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.