GCD of 270, 807, 324 Calculator

Given Input numbers are 270, 807, 324

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

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 270, 807, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 807, 324 is 3.

Therefore, GCD of numbers 270, 807, 324 is 3

Given Input Data is 270, 807, 324

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

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(270, 807) = 72630

GCD(270, 807) = ( 270 x 807 ) / 72630

GCD(270, 807) = 217890 / 72630

GCD(270, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 324

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

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

GCD(3, 324) = 972 / 324

GCD(3, 324) = 3

GCD of 270, 807, 324 is 3

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1. What is the GCD of 270, 807, 324?

GCD of 270, 807, 324 is 3

2. Where do I get the detailed procedure to find GCD of 270, 807, 324?

You can find a detailed procedure to find GCD of 270, 807, 324 on our page.

3. How to find GCD of 270, 807, 324 on a calculator?

You can find the GCD of 270, 807, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.