GCD of 270, 331, 822 Calculator

Given Input numbers are 270, 331, 822

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 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 270, 331, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 331, 822 is 1.

Therefore, GCD of numbers 270, 331, 822 is 1

Given Input Data is 270, 331, 822

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 331 is 331

Prime Factorization of 822 is 2 x 3 x 137

The above numbers do not have any common prime factor. So GCD is 1

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, 331) = 89370

GCD(270, 331) = ( 270 x 331 ) / 89370

GCD(270, 331) = 89370 / 89370

GCD(270, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 270, 331, 822 is 1

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1. What is the GCD of 270, 331, 822?

GCD of 270, 331, 822 is 1

2. Where do I get the detailed procedure to find GCD of 270, 331, 822?

You can find a detailed procedure to find GCD of 270, 331, 822 on our page.

3. How to find GCD of 270, 331, 822 on a calculator?

You can find the GCD of 270, 331, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.