GCD of 270, 398, 20, 165 Calculator

Given Input numbers are 270, 398, 20, 165

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 270, 398, 20, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 398, 20, 165 is 1.

Therefore, GCD of numbers 270, 398, 20, 165 is 1

Given Input Data is 270, 398, 20, 165

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 398 is 2 x 199

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 165 is 3 x 5 x 11

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, 398) = 53730

GCD(270, 398) = ( 270 x 398 ) / 53730

GCD(270, 398) = 107460 / 53730

GCD(270, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 165

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

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

GCD(2, 165) = 330 / 330

GCD(2, 165) = 1

GCD of 270, 398, 20, 165 is 1

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1. What is the GCD of 270, 398, 20, 165?

GCD of 270, 398, 20, 165 is 1

2. Where do I get the detailed procedure to find GCD of 270, 398, 20, 165?

You can find a detailed procedure to find GCD of 270, 398, 20, 165 on our page.

3. How to find GCD of 270, 398, 20, 165 on a calculator?

You can find the GCD of 270, 398, 20, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.