GCD of 438, 132, 727, 800 Calculator

Given Input numbers are 438, 132, 727, 800

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 727

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

1, 727

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

Greatest Common Divisior

We found the divisors of 438, 132, 727, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 132, 727, 800 is 1.

Therefore, GCD of numbers 438, 132, 727, 800 is 1

Given Input Data is 438, 132, 727, 800

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 727 is 727

Prime Factorization of 800 is 2 x 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(438, 132) = 9636

GCD(438, 132) = ( 438 x 132 ) / 9636

GCD(438, 132) = 57816 / 9636

GCD(438, 132) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 727

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

LCM(6, 727) = 4362

GCD(6, 727) = ( 6 x 727 ) / 4362

GCD(6, 727) = 4362 / 4362

GCD(6, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 438, 132, 727, 800 is 1

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1. What is the GCD of 438, 132, 727, 800?

GCD of 438, 132, 727, 800 is 1

2. Where do I get the detailed procedure to find GCD of 438, 132, 727, 800?

You can find a detailed procedure to find GCD of 438, 132, 727, 800 on our page.

3. How to find GCD of 438, 132, 727, 800 on a calculator?

You can find the GCD of 438, 132, 727, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.