GCD of 112, 432, 12, 102 Calculator

Given Input numbers are 112, 432, 12, 102

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 112, 432, 12, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 432, 12, 102 is 2.

Therefore, GCD of numbers 112, 432, 12, 102 is 2

Given Input Data is 112, 432, 12, 102

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 102 is 2 x 3 x 17

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(112, 432) = 3024

GCD(112, 432) = ( 112 x 432 ) / 3024

GCD(112, 432) = 48384 / 3024

GCD(112, 432) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 12

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

LCM(16, 12) = 48

GCD(16, 12) = ( 16 x 12 ) / 48

GCD(16, 12) = 192 / 48

GCD(16, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 102

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

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

GCD(4, 102) = 408 / 204

GCD(4, 102) = 2

GCD of 112, 432, 12, 102 is 2

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1. What is the GCD of 112, 432, 12, 102?

GCD of 112, 432, 12, 102 is 2

2. Where do I get the detailed procedure to find GCD of 112, 432, 12, 102?

You can find a detailed procedure to find GCD of 112, 432, 12, 102 on our page.

3. How to find GCD of 112, 432, 12, 102 on a calculator?

You can find the GCD of 112, 432, 12, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.