GCD of 104, 586, 470 Calculator

Given Input numbers are 104, 586, 470

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 104, 586, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 586, 470 is 2.

Therefore, GCD of numbers 104, 586, 470 is 2

Given Input Data is 104, 586, 470

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 586 is 2 x 293

Prime Factorization of 470 is 2 x 5 x 47

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(104, 586) = 30472

GCD(104, 586) = ( 104 x 586 ) / 30472

GCD(104, 586) = 60944 / 30472

GCD(104, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 104, 586, 470 is 2

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1. What is the GCD of 104, 586, 470?

GCD of 104, 586, 470 is 2

2. Where do I get the detailed procedure to find GCD of 104, 586, 470?

You can find a detailed procedure to find GCD of 104, 586, 470 on our page.

3. How to find GCD of 104, 586, 470 on a calculator?

You can find the GCD of 104, 586, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.