GCD of 800, 400, 32, 902 Calculator

Given Input numbers are 800, 400, 32, 902

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

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 800, 400, 32, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 400, 32, 902 is 2.

Therefore, GCD of numbers 800, 400, 32, 902 is 2

Given Input Data is 800, 400, 32, 902

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

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 902 is 2 x 11 x 41

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(800, 400) = 800

GCD(800, 400) = ( 800 x 400 ) / 800

GCD(800, 400) = 320000 / 800

GCD(800, 400) = 400

Step2:

Here we consider the GCD from the above i.e. 400 as first number and the next as 32

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

LCM(400, 32) = 800

GCD(400, 32) = ( 400 x 32 ) / 800

GCD(400, 32) = 12800 / 800

GCD(400, 32) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 902

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

LCM(16, 902) = 7216

GCD(16, 902) = ( 16 x 902 ) / 7216

GCD(16, 902) = 14432 / 7216

GCD(16, 902) = 2

GCD of 800, 400, 32, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 641, 54, 552
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• GCD of 241, 115, 93, 689

1. What is the GCD of 800, 400, 32, 902?

GCD of 800, 400, 32, 902 is 2

2. Where do I get the detailed procedure to find GCD of 800, 400, 32, 902?

You can find a detailed procedure to find GCD of 800, 400, 32, 902 on our page.

3. How to find GCD of 800, 400, 32, 902 on a calculator?

You can find the GCD of 800, 400, 32, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.