GCD of 132, 230, 470 Calculator

Given Input numbers are 132, 230, 470

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 132, 230, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 230, 470 is 2.

Therefore, GCD of numbers 132, 230, 470 is 2

Given Input Data is 132, 230, 470

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 470 is 2 x 5 x 47

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(132, 230) = 15180

GCD(132, 230) = ( 132 x 230 ) / 15180

GCD(132, 230) = 30360 / 15180

GCD(132, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 132, 230, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 220, 481
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1. What is the GCD of 132, 230, 470?

GCD of 132, 230, 470 is 2

2. Where do I get the detailed procedure to find GCD of 132, 230, 470?

You can find a detailed procedure to find GCD of 132, 230, 470 on our page.

3. How to find GCD of 132, 230, 470 on a calculator?

You can find the GCD of 132, 230, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.