GCD of 854, 510, 442 Calculator

Given Input numbers are 854, 510, 442

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 854, 510, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 510, 442 is 2.

Therefore, GCD of numbers 854, 510, 442 is 2

Given Input Data is 854, 510, 442

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 442 is 2 x 13 x 17

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(854, 510) = 217770

GCD(854, 510) = ( 854 x 510 ) / 217770

GCD(854, 510) = 435540 / 217770

GCD(854, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 854, 510, 442 is 2

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1. What is the GCD of 854, 510, 442?

GCD of 854, 510, 442 is 2

2. Where do I get the detailed procedure to find GCD of 854, 510, 442?

You can find a detailed procedure to find GCD of 854, 510, 442 on our page.

3. How to find GCD of 854, 510, 442 on a calculator?

You can find the GCD of 854, 510, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.