GCD of 446, 520, 856 Calculator

Given Input numbers are 446, 520, 856

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 446, 520, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 520, 856 is 2.

Therefore, GCD of numbers 446, 520, 856 is 2

Given Input Data is 446, 520, 856

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(446, 520) = 115960

GCD(446, 520) = ( 446 x 520 ) / 115960

GCD(446, 520) = 231920 / 115960

GCD(446, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 446, 520, 856 is 2

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1. What is the GCD of 446, 520, 856?

GCD of 446, 520, 856 is 2

2. Where do I get the detailed procedure to find GCD of 446, 520, 856?

You can find a detailed procedure to find GCD of 446, 520, 856 on our page.

3. How to find GCD of 446, 520, 856 on a calculator?

You can find the GCD of 446, 520, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.