GCD of 230, 432, 144, 930 Calculator

Given Input numbers are 230, 432, 144, 930

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 230, 432, 144, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 432, 144, 930 is 2.

Therefore, GCD of numbers 230, 432, 144, 930 is 2

Given Input Data is 230, 432, 144, 930

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

Prime Factorization of 230 is 2 x 5 x 23

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(230, 432) = 49680

GCD(230, 432) = ( 230 x 432 ) / 49680

GCD(230, 432) = 99360 / 49680

GCD(230, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

GCD of 230, 432, 144, 930 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 230, 432, 144, 930?

GCD of 230, 432, 144, 930 is 2

2. Where do I get the detailed procedure to find GCD of 230, 432, 144, 930?

You can find a detailed procedure to find GCD of 230, 432, 144, 930 on our page.

3. How to find GCD of 230, 432, 144, 930 on a calculator?

You can find the GCD of 230, 432, 144, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.