GCD of 328, 798, 56, 532 Calculator

Given Input numbers are 328, 798, 56, 532

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

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 328, 798, 56, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 798, 56, 532 is 2.

Therefore, GCD of numbers 328, 798, 56, 532 is 2

Given Input Data is 328, 798, 56, 532

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

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(328, 798) = 130872

GCD(328, 798) = ( 328 x 798 ) / 130872

GCD(328, 798) = 261744 / 130872

GCD(328, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 328, 798, 56, 532 is 2

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1. What is the GCD of 328, 798, 56, 532?

GCD of 328, 798, 56, 532 is 2

2. Where do I get the detailed procedure to find GCD of 328, 798, 56, 532?

You can find a detailed procedure to find GCD of 328, 798, 56, 532 on our page.

3. How to find GCD of 328, 798, 56, 532 on a calculator?

You can find the GCD of 328, 798, 56, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.