GCD of 884, 867, 727, 400 Calculator

Given Input numbers are 884, 867, 727, 400

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

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 884, 867, 727, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 867, 727, 400 is 1.

Therefore, GCD of numbers 884, 867, 727, 400 is 1

Given Input Data is 884, 867, 727, 400

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 727 is 727

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(884, 867) = 45084

GCD(884, 867) = ( 884 x 867 ) / 45084

GCD(884, 867) = 766428 / 45084

GCD(884, 867) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 727

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

LCM(17, 727) = 12359

GCD(17, 727) = ( 17 x 727 ) / 12359

GCD(17, 727) = 12359 / 12359

GCD(17, 727) = 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 884, 867, 727, 400 is 1

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1. What is the GCD of 884, 867, 727, 400?

GCD of 884, 867, 727, 400 is 1

2. Where do I get the detailed procedure to find GCD of 884, 867, 727, 400?

You can find a detailed procedure to find GCD of 884, 867, 727, 400 on our page.

3. How to find GCD of 884, 867, 727, 400 on a calculator?

You can find the GCD of 884, 867, 727, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.