GCD of 46, 800, 624, 256 Calculator

Given Input numbers are 46, 800, 624, 256

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

Greatest Common Divisior

We found the divisors of 46, 800, 624, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 800, 624, 256 is 2.

Therefore, GCD of numbers 46, 800, 624, 256 is 2

Given Input Data is 46, 800, 624, 256

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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

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(46, 800) = 18400

GCD(46, 800) = ( 46 x 800 ) / 18400

GCD(46, 800) = 36800 / 18400

GCD(46, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

GCD of 46, 800, 624, 256 is 2

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1. What is the GCD of 46, 800, 624, 256?

GCD of 46, 800, 624, 256 is 2

2. Where do I get the detailed procedure to find GCD of 46, 800, 624, 256?

You can find a detailed procedure to find GCD of 46, 800, 624, 256 on our page.

3. How to find GCD of 46, 800, 624, 256 on a calculator?

You can find the GCD of 46, 800, 624, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.