GCD of 480, 231, 27, 438 Calculator

Given Input numbers are 480, 231, 27, 438

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 438

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

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

Greatest Common Divisior

We found the divisors of 480, 231, 27, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 231, 27, 438 is 3.

Therefore, GCD of numbers 480, 231, 27, 438 is 3

Given Input Data is 480, 231, 27, 438

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 438 is 2 x 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(480, 231) = 36960

GCD(480, 231) = ( 480 x 231 ) / 36960

GCD(480, 231) = 110880 / 36960

GCD(480, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 438

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

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

GCD(3, 438) = 1314 / 438

GCD(3, 438) = 3

GCD of 480, 231, 27, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 651, 77, 768
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• GCD of 751, 224, 10, 498

1. What is the GCD of 480, 231, 27, 438?

GCD of 480, 231, 27, 438 is 3

2. Where do I get the detailed procedure to find GCD of 480, 231, 27, 438?

You can find a detailed procedure to find GCD of 480, 231, 27, 438 on our page.

3. How to find GCD of 480, 231, 27, 438 on a calculator?

You can find the GCD of 480, 231, 27, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.