GCD of 438, 386, 74, 324 Calculator

Given Input numbers are 438, 386, 74, 324

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 438, 386, 74, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 386, 74, 324 is 2.

Therefore, GCD of numbers 438, 386, 74, 324 is 2

Given Input Data is 438, 386, 74, 324

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 386 is 2 x 193

Prime Factorization of 74 is 2 x 37

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(438, 386) = 84534

GCD(438, 386) = ( 438 x 386 ) / 84534

GCD(438, 386) = 169068 / 84534

GCD(438, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 438, 386, 74, 324 is 2

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1. What is the GCD of 438, 386, 74, 324?

GCD of 438, 386, 74, 324 is 2

2. Where do I get the detailed procedure to find GCD of 438, 386, 74, 324?

You can find a detailed procedure to find GCD of 438, 386, 74, 324 on our page.

3. How to find GCD of 438, 386, 74, 324 on a calculator?

You can find the GCD of 438, 386, 74, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.