GCD of 328, 960, 888, 188 Calculator

Given Input numbers are 328, 960, 888, 188

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

Divisors of 328

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 328, 960, 888, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 960, 888, 188 is 4.

Therefore, GCD of numbers 328, 960, 888, 188 is 4

Given Input Data is 328, 960, 888, 188

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 188 is 2 x 2 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(328, 960) = 39360

GCD(328, 960) = ( 328 x 960 ) / 39360

GCD(328, 960) = 314880 / 39360

GCD(328, 960) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 888

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

LCM(8, 888) = 888

GCD(8, 888) = ( 8 x 888 ) / 888

GCD(8, 888) = 7104 / 888

GCD(8, 888) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 188

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

LCM(8, 188) = 376

GCD(8, 188) = ( 8 x 188 ) / 376

GCD(8, 188) = 1504 / 376

GCD(8, 188) = 4

GCD of 328, 960, 888, 188 is 4

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1. What is the GCD of 328, 960, 888, 188?

GCD of 328, 960, 888, 188 is 4

2. Where do I get the detailed procedure to find GCD of 328, 960, 888, 188?

You can find a detailed procedure to find GCD of 328, 960, 888, 188 on our page.

3. How to find GCD of 328, 960, 888, 188 on a calculator?

You can find the GCD of 328, 960, 888, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.