GCD of 800, 286, 846, 231 Calculator

Given Input numbers are 800, 286, 846, 231

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 800, 286, 846, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 286, 846, 231 is 1.

Therefore, GCD of numbers 800, 286, 846, 231 is 1

Given Input Data is 800, 286, 846, 231

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 286 is 2 x 11 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 231 is 3 x 7 x 11

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(800, 286) = 114400

GCD(800, 286) = ( 800 x 286 ) / 114400

GCD(800, 286) = 228800 / 114400

GCD(800, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 800, 286, 846, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 801, 289, 529
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• GCD of 975, 263, 948, 518

1. What is the GCD of 800, 286, 846, 231?

GCD of 800, 286, 846, 231 is 1

2. Where do I get the detailed procedure to find GCD of 800, 286, 846, 231?

You can find a detailed procedure to find GCD of 800, 286, 846, 231 on our page.

3. How to find GCD of 800, 286, 846, 231 on a calculator?

You can find the GCD of 800, 286, 846, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.