GCD of 184, 334, 540, 438 Calculator

Given Input numbers are 184, 334, 540, 438

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 184, 334, 540, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 334, 540, 438 is 2.

Therefore, GCD of numbers 184, 334, 540, 438 is 2

Given Input Data is 184, 334, 540, 438

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 438 is 2 x 3 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(184, 334) = 30728

GCD(184, 334) = ( 184 x 334 ) / 30728

GCD(184, 334) = 61456 / 30728

GCD(184, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

GCD of 184, 334, 540, 438 is 2

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• GCD of 625, 323, 676, 686
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1. What is the GCD of 184, 334, 540, 438?

GCD of 184, 334, 540, 438 is 2

2. Where do I get the detailed procedure to find GCD of 184, 334, 540, 438?

You can find a detailed procedure to find GCD of 184, 334, 540, 438 on our page.

3. How to find GCD of 184, 334, 540, 438 on a calculator?

You can find the GCD of 184, 334, 540, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.