GCD of 128, 302, 138 Calculator

Given Input numbers are 128, 302, 138

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

Divisors of 128

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

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 128, 302, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 302, 138 is 2.

Therefore, GCD of numbers 128, 302, 138 is 2

Given Input Data is 128, 302, 138

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

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 138 is 2 x 3 x 23

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(128, 302) = 19328

GCD(128, 302) = ( 128 x 302 ) / 19328

GCD(128, 302) = 38656 / 19328

GCD(128, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 128, 302, 138 is 2

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1. What is the GCD of 128, 302, 138?

GCD of 128, 302, 138 is 2

2. Where do I get the detailed procedure to find GCD of 128, 302, 138?

You can find a detailed procedure to find GCD of 128, 302, 138 on our page.

3. How to find GCD of 128, 302, 138 on a calculator?

You can find the GCD of 128, 302, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.