GCD of 438, 138, 81, 909 Calculator

Given Input numbers are 438, 138, 81, 909

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 438, 138, 81, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 138, 81, 909 is 3.

Therefore, GCD of numbers 438, 138, 81, 909 is 3

Given Input Data is 438, 138, 81, 909

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 138 is 2 x 3 x 23

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 909 is 3 x 3 x 101

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(438, 138) = 10074

GCD(438, 138) = ( 438 x 138 ) / 10074

GCD(438, 138) = 60444 / 10074

GCD(438, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 909

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

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

GCD(3, 909) = 2727 / 909

GCD(3, 909) = 3

GCD of 438, 138, 81, 909 is 3

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1. What is the GCD of 438, 138, 81, 909?

GCD of 438, 138, 81, 909 is 3

2. Where do I get the detailed procedure to find GCD of 438, 138, 81, 909?

You can find a detailed procedure to find GCD of 438, 138, 81, 909 on our page.

3. How to find GCD of 438, 138, 81, 909 on a calculator?

You can find the GCD of 438, 138, 81, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.