GCD of 442, 194, 194, 270 Calculator

Given Input numbers are 442, 194, 194, 270

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 442, 194, 194, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 194, 194, 270 is 2.

Therefore, GCD of numbers 442, 194, 194, 270 is 2

Given Input Data is 442, 194, 194, 270

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 194 is 2 x 97

Prime Factorization of 194 is 2 x 97

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(442, 194) = 42874

GCD(442, 194) = ( 442 x 194 ) / 42874

GCD(442, 194) = 85748 / 42874

GCD(442, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 442, 194, 194, 270 is 2

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1. What is the GCD of 442, 194, 194, 270?

GCD of 442, 194, 194, 270 is 2

2. Where do I get the detailed procedure to find GCD of 442, 194, 194, 270?

You can find a detailed procedure to find GCD of 442, 194, 194, 270 on our page.

3. How to find GCD of 442, 194, 194, 270 on a calculator?

You can find the GCD of 442, 194, 194, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.