GCD of 336, 898, 42, 510 Calculator

Given Input numbers are 336, 898, 42, 510

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 336, 898, 42, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 898, 42, 510 is 2.

Therefore, GCD of numbers 336, 898, 42, 510 is 2

Given Input Data is 336, 898, 42, 510

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 898 is 2 x 449

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 510 is 2 x 3 x 5 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(336, 898) = 150864

GCD(336, 898) = ( 336 x 898 ) / 150864

GCD(336, 898) = 301728 / 150864

GCD(336, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 510

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

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

GCD(2, 510) = 1020 / 510

GCD(2, 510) = 2

GCD of 336, 898, 42, 510 is 2

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1. What is the GCD of 336, 898, 42, 510?

GCD of 336, 898, 42, 510 is 2

2. Where do I get the detailed procedure to find GCD of 336, 898, 42, 510?

You can find a detailed procedure to find GCD of 336, 898, 42, 510 on our page.

3. How to find GCD of 336, 898, 42, 510 on a calculator?

You can find the GCD of 336, 898, 42, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.