GCD of 384, 528, 380 Calculator

Given Input numbers are 384, 528, 380

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 384, 528, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 528, 380 is 4.

Therefore, GCD of numbers 384, 528, 380 is 4

Given Input Data is 384, 528, 380

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(384, 528) = 4224

GCD(384, 528) = ( 384 x 528 ) / 4224

GCD(384, 528) = 202752 / 4224

GCD(384, 528) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 380

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

LCM(48, 380) = 4560

GCD(48, 380) = ( 48 x 380 ) / 4560

GCD(48, 380) = 18240 / 4560

GCD(48, 380) = 4

GCD of 384, 528, 380 is 4

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1. What is the GCD of 384, 528, 380?

GCD of 384, 528, 380 is 4

2. Where do I get the detailed procedure to find GCD of 384, 528, 380?

You can find a detailed procedure to find GCD of 384, 528, 380 on our page.

3. How to find GCD of 384, 528, 380 on a calculator?

You can find the GCD of 384, 528, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.