GCD of 423, 720, 270 Calculator

Given Input numbers are 423, 720, 270

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 423, 720, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 720, 270 is 9.

Therefore, GCD of numbers 423, 720, 270 is 9

Given Input Data is 423, 720, 270

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(423, 720) = 33840

GCD(423, 720) = ( 423 x 720 ) / 33840

GCD(423, 720) = 304560 / 33840

GCD(423, 720) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 270

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

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

GCD(9, 270) = 2430 / 270

GCD(9, 270) = 9

GCD of 423, 720, 270 is 9

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• GCD of 287, 758, 311
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1. What is the GCD of 423, 720, 270?

GCD of 423, 720, 270 is 9

2. Where do I get the detailed procedure to find GCD of 423, 720, 270?

You can find a detailed procedure to find GCD of 423, 720, 270 on our page.

3. How to find GCD of 423, 720, 270 on a calculator?

You can find the GCD of 423, 720, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.