GCD of 800, 501, 388, 288 Calculator

Given Input numbers are 800, 501, 388, 288

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 800, 501, 388, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 501, 388, 288 is 1.

Therefore, GCD of numbers 800, 501, 388, 288 is 1

Given Input Data is 800, 501, 388, 288

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 501 is 3 x 167

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(800, 501) = 400800

GCD(800, 501) = ( 800 x 501 ) / 400800

GCD(800, 501) = 400800 / 400800

GCD(800, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 800, 501, 388, 288 is 1

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1. What is the GCD of 800, 501, 388, 288?

GCD of 800, 501, 388, 288 is 1

2. Where do I get the detailed procedure to find GCD of 800, 501, 388, 288?

You can find a detailed procedure to find GCD of 800, 501, 388, 288 on our page.

3. How to find GCD of 800, 501, 388, 288 on a calculator?

You can find the GCD of 800, 501, 388, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.