GCD of 144, 460, 432 Calculator

Given Input numbers are 144, 460, 432

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

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Greatest Common Divisior

We found the divisors of 144, 460, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 460, 432 is 4.

Therefore, GCD of numbers 144, 460, 432 is 4

Given Input Data is 144, 460, 432

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

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(144, 460) = 16560

GCD(144, 460) = ( 144 x 460 ) / 16560

GCD(144, 460) = 66240 / 16560

GCD(144, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 432

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

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

GCD(4, 432) = 1728 / 432

GCD(4, 432) = 4

GCD of 144, 460, 432 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 255, 967
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• GCD of 477, 807, 239
• GCD of 738, 193, 613
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1. What is the GCD of 144, 460, 432?

GCD of 144, 460, 432 is 4

2. Where do I get the detailed procedure to find GCD of 144, 460, 432?

You can find a detailed procedure to find GCD of 144, 460, 432 on our page.

3. How to find GCD of 144, 460, 432 on a calculator?

You can find the GCD of 144, 460, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.