GCD of 518, 416, 32, 392 Calculator

Given Input numbers are 518, 416, 32, 392

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 518, 416, 32, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 416, 32, 392 is 2.

Therefore, GCD of numbers 518, 416, 32, 392 is 2

Given Input Data is 518, 416, 32, 392

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(518, 416) = 107744

GCD(518, 416) = ( 518 x 416 ) / 107744

GCD(518, 416) = 215488 / 107744

GCD(518, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

GCD of 518, 416, 32, 392 is 2

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1. What is the GCD of 518, 416, 32, 392?

GCD of 518, 416, 32, 392 is 2

2. Where do I get the detailed procedure to find GCD of 518, 416, 32, 392?

You can find a detailed procedure to find GCD of 518, 416, 32, 392 on our page.

3. How to find GCD of 518, 416, 32, 392 on a calculator?

You can find the GCD of 518, 416, 32, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.