GCD of 800, 272, 26, 833 Calculator

Given Input numbers are 800, 272, 26, 833

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 800, 272, 26, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 272, 26, 833 is 1.

Therefore, GCD of numbers 800, 272, 26, 833 is 1

Given Input Data is 800, 272, 26, 833

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 833 is 7 x 7 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(800, 272) = 13600

GCD(800, 272) = ( 800 x 272 ) / 13600

GCD(800, 272) = 217600 / 13600

GCD(800, 272) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 26

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

LCM(16, 26) = 208

GCD(16, 26) = ( 16 x 26 ) / 208

GCD(16, 26) = 416 / 208

GCD(16, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

GCD of 800, 272, 26, 833 is 1

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1. What is the GCD of 800, 272, 26, 833?

GCD of 800, 272, 26, 833 is 1

2. Where do I get the detailed procedure to find GCD of 800, 272, 26, 833?

You can find a detailed procedure to find GCD of 800, 272, 26, 833 on our page.

3. How to find GCD of 800, 272, 26, 833 on a calculator?

You can find the GCD of 800, 272, 26, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.