GCD of 899, 800, 50, 864 Calculator

Given Input numbers are 899, 800, 50, 864

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 899, 800, 50, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 800, 50, 864 is 1.

Therefore, GCD of numbers 899, 800, 50, 864 is 1

Given Input Data is 899, 800, 50, 864

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

Prime Factorization of 899 is 29 x 31

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(899, 800) = 719200

GCD(899, 800) = ( 899 x 800 ) / 719200

GCD(899, 800) = 719200 / 719200

GCD(899, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 899, 800, 50, 864 is 1

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1. What is the GCD of 899, 800, 50, 864?

GCD of 899, 800, 50, 864 is 1

2. Where do I get the detailed procedure to find GCD of 899, 800, 50, 864?

You can find a detailed procedure to find GCD of 899, 800, 50, 864 on our page.

3. How to find GCD of 899, 800, 50, 864 on a calculator?

You can find the GCD of 899, 800, 50, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.