GCD of 46, 800, 799, 255 Calculator

Given Input numbers are 46, 800, 799, 255

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 46, 800, 799, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 800, 799, 255 is 1.

Therefore, GCD of numbers 46, 800, 799, 255 is 1

Given Input Data is 46, 800, 799, 255

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 799 is 17 x 47

Prime Factorization of 255 is 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

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 799

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

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 46, 800, 799, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 279, 801, 217
• GCD of 56, 639, 757, 498
• GCD of 87, 338, 124, 768
• GCD of 61, 731, 587, 496
• GCD of 94, 311, 622, 679

1. What is the GCD of 46, 800, 799, 255?

GCD of 46, 800, 799, 255 is 1

2. Where do I get the detailed procedure to find GCD of 46, 800, 799, 255?

You can find a detailed procedure to find GCD of 46, 800, 799, 255 on our page.

3. How to find GCD of 46, 800, 799, 255 on a calculator?

You can find the GCD of 46, 800, 799, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.