GCD of 470, 384, 82, 874 Calculator

Given Input numbers are 470, 384, 82, 874

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 470, 384, 82, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 384, 82, 874 is 2.

Therefore, GCD of numbers 470, 384, 82, 874 is 2

Given Input Data is 470, 384, 82, 874

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

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 874 is 2 x 19 x 23

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(470, 384) = 90240

GCD(470, 384) = ( 470 x 384 ) / 90240

GCD(470, 384) = 180480 / 90240

GCD(470, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 470, 384, 82, 874 is 2

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1. What is the GCD of 470, 384, 82, 874?

GCD of 470, 384, 82, 874 is 2

2. Where do I get the detailed procedure to find GCD of 470, 384, 82, 874?

You can find a detailed procedure to find GCD of 470, 384, 82, 874 on our page.

3. How to find GCD of 470, 384, 82, 874 on a calculator?

You can find the GCD of 470, 384, 82, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.