GCD of 432, 315, 999, 420 Calculator

Given Input numbers are 432, 315, 999, 420

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

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 432, 315, 999, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 315, 999, 420 is 3.

Therefore, GCD of numbers 432, 315, 999, 420 is 3

Given Input Data is 432, 315, 999, 420

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

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(432, 315) = 15120

GCD(432, 315) = ( 432 x 315 ) / 15120

GCD(432, 315) = 136080 / 15120

GCD(432, 315) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 999

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

LCM(9, 999) = 999

GCD(9, 999) = ( 9 x 999 ) / 999

GCD(9, 999) = 8991 / 999

GCD(9, 999) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 420

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

LCM(9, 420) = 1260

GCD(9, 420) = ( 9 x 420 ) / 1260

GCD(9, 420) = 3780 / 1260

GCD(9, 420) = 3

GCD of 432, 315, 999, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 729, 920, 501
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• GCD of 200, 600, 501, 950
• GCD of 739, 240, 472, 153

1. What is the GCD of 432, 315, 999, 420?

GCD of 432, 315, 999, 420 is 3

2. Where do I get the detailed procedure to find GCD of 432, 315, 999, 420?

You can find a detailed procedure to find GCD of 432, 315, 999, 420 on our page.

3. How to find GCD of 432, 315, 999, 420 on a calculator?

You can find the GCD of 432, 315, 999, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.