GCD of 447, 165, 46, 800 Calculator

Given Input numbers are 447, 165, 46, 800

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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

Greatest Common Divisior

We found the divisors of 447, 165, 46, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 165, 46, 800 is 1.

Therefore, GCD of numbers 447, 165, 46, 800 is 1

Given Input Data is 447, 165, 46, 800

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 165 is 3 x 5 x 11

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

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(447, 165) = 24585

GCD(447, 165) = ( 447 x 165 ) / 24585

GCD(447, 165) = 73755 / 24585

GCD(447, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 447, 165, 46, 800 is 1

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1. What is the GCD of 447, 165, 46, 800?

GCD of 447, 165, 46, 800 is 1

2. Where do I get the detailed procedure to find GCD of 447, 165, 46, 800?

You can find a detailed procedure to find GCD of 447, 165, 46, 800 on our page.

3. How to find GCD of 447, 165, 46, 800 on a calculator?

You can find the GCD of 447, 165, 46, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.