GCD of 488, 576, 42, 318 Calculator

Given Input numbers are 488, 576, 42, 318

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 488, 576, 42, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 576, 42, 318 is 2.

Therefore, GCD of numbers 488, 576, 42, 318 is 2

Given Input Data is 488, 576, 42, 318

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 318 is 2 x 3 x 53

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(488, 576) = 35136

GCD(488, 576) = ( 488 x 576 ) / 35136

GCD(488, 576) = 281088 / 35136

GCD(488, 576) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 42

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

LCM(8, 42) = 168

GCD(8, 42) = ( 8 x 42 ) / 168

GCD(8, 42) = 336 / 168

GCD(8, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 488, 576, 42, 318 is 2

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1. What is the GCD of 488, 576, 42, 318?

GCD of 488, 576, 42, 318 is 2

2. Where do I get the detailed procedure to find GCD of 488, 576, 42, 318?

You can find a detailed procedure to find GCD of 488, 576, 42, 318 on our page.

3. How to find GCD of 488, 576, 42, 318 on a calculator?

You can find the GCD of 488, 576, 42, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.