GCD of 640, 150, 438, 328 Calculator

Given Input numbers are 640, 150, 438, 328

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 640, 150, 438, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 150, 438, 328 is 2.

Therefore, GCD of numbers 640, 150, 438, 328 is 2

Given Input Data is 640, 150, 438, 328

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(640, 150) = 9600

GCD(640, 150) = ( 640 x 150 ) / 9600

GCD(640, 150) = 96000 / 9600

GCD(640, 150) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 438

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

LCM(10, 438) = 2190

GCD(10, 438) = ( 10 x 438 ) / 2190

GCD(10, 438) = 4380 / 2190

GCD(10, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 640, 150, 438, 328 is 2

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1. What is the GCD of 640, 150, 438, 328?

GCD of 640, 150, 438, 328 is 2

2. Where do I get the detailed procedure to find GCD of 640, 150, 438, 328?

You can find a detailed procedure to find GCD of 640, 150, 438, 328 on our page.

3. How to find GCD of 640, 150, 438, 328 on a calculator?

You can find the GCD of 640, 150, 438, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.