GCD of 516, 328, 48, 476 Calculator

Given Input numbers are 516, 328, 48, 476

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 516, 328, 48, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 328, 48, 476 is 4.

Therefore, GCD of numbers 516, 328, 48, 476 is 4

Given Input Data is 516, 328, 48, 476

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 476 is 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(516, 328) = 42312

GCD(516, 328) = ( 516 x 328 ) / 42312

GCD(516, 328) = 169248 / 42312

GCD(516, 328) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 476

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

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

GCD(4, 476) = 1904 / 476

GCD(4, 476) = 4

GCD of 516, 328, 48, 476 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 449, 28, 253
• GCD of 476, 865, 29, 403
• GCD of 903, 254, 94, 507
• GCD of 137, 165, 78, 220
• GCD of 885, 687, 22, 506

1. What is the GCD of 516, 328, 48, 476?

GCD of 516, 328, 48, 476 is 4

2. Where do I get the detailed procedure to find GCD of 516, 328, 48, 476?

You can find a detailed procedure to find GCD of 516, 328, 48, 476 on our page.

3. How to find GCD of 516, 328, 48, 476 on a calculator?

You can find the GCD of 516, 328, 48, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.