GCD of 384, 922, 128 Calculator

Given Input numbers are 384, 922, 128

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 384, 922, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 922, 128 is 2.

Therefore, GCD of numbers 384, 922, 128 is 2

Given Input Data is 384, 922, 128

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 922 is 2 x 461

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(384, 922) = 177024

GCD(384, 922) = ( 384 x 922 ) / 177024

GCD(384, 922) = 354048 / 177024

GCD(384, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

GCD of 384, 922, 128 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 826, 578
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1. What is the GCD of 384, 922, 128?

GCD of 384, 922, 128 is 2

2. Where do I get the detailed procedure to find GCD of 384, 922, 128?

You can find a detailed procedure to find GCD of 384, 922, 128 on our page.

3. How to find GCD of 384, 922, 128 on a calculator?

You can find the GCD of 384, 922, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.