GCD of 256, 328, 504, 846 Calculator

Given Input numbers are 256, 328, 504, 846

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 256, 328, 504, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 328, 504, 846 is 2.

Therefore, GCD of numbers 256, 328, 504, 846 is 2

Given Input Data is 256, 328, 504, 846

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(256, 328) = 10496

GCD(256, 328) = ( 256 x 328 ) / 10496

GCD(256, 328) = 83968 / 10496

GCD(256, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 504

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

LCM(8, 504) = 504

GCD(8, 504) = ( 8 x 504 ) / 504

GCD(8, 504) = 4032 / 504

GCD(8, 504) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 846

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

LCM(8, 846) = 3384

GCD(8, 846) = ( 8 x 846 ) / 3384

GCD(8, 846) = 6768 / 3384

GCD(8, 846) = 2

GCD of 256, 328, 504, 846 is 2

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1. What is the GCD of 256, 328, 504, 846?

GCD of 256, 328, 504, 846 is 2

2. Where do I get the detailed procedure to find GCD of 256, 328, 504, 846?

You can find a detailed procedure to find GCD of 256, 328, 504, 846 on our page.

3. How to find GCD of 256, 328, 504, 846 on a calculator?

You can find the GCD of 256, 328, 504, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.