GCD of 288, 809, 889, 400 Calculator

Given Input numbers are 288, 809, 889, 400

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

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

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

Greatest Common Divisior

We found the divisors of 288, 809, 889, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 809, 889, 400 is 1.

Therefore, GCD of numbers 288, 809, 889, 400 is 1

Given Input Data is 288, 809, 889, 400

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 809 is 809

Prime Factorization of 889 is 7 x 127

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

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(288, 809) = 232992

GCD(288, 809) = ( 288 x 809 ) / 232992

GCD(288, 809) = 232992 / 232992

GCD(288, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 288, 809, 889, 400 is 1

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1. What is the GCD of 288, 809, 889, 400?

GCD of 288, 809, 889, 400 is 1

2. Where do I get the detailed procedure to find GCD of 288, 809, 889, 400?

You can find a detailed procedure to find GCD of 288, 809, 889, 400 on our page.

3. How to find GCD of 288, 809, 889, 400 on a calculator?

You can find the GCD of 288, 809, 889, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.