GCD of 442, 446, 50, 290 Calculator

Given Input numbers are 442, 446, 50, 290

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 442, 446, 50, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 446, 50, 290 is 2.

Therefore, GCD of numbers 442, 446, 50, 290 is 2

Given Input Data is 442, 446, 50, 290

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 446 is 2 x 223

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 290 is 2 x 5 x 29

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, 446) = 98566

GCD(442, 446) = ( 442 x 446 ) / 98566

GCD(442, 446) = 197132 / 98566

GCD(442, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 442, 446, 50, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 485, 96, 242
• GCD of 200, 691, 95, 281
• GCD of 457, 859, 18, 852
• GCD of 887, 174, 81, 505
• GCD of 349, 537, 42, 289

1. What is the GCD of 442, 446, 50, 290?

GCD of 442, 446, 50, 290 is 2

2. Where do I get the detailed procedure to find GCD of 442, 446, 50, 290?

You can find a detailed procedure to find GCD of 442, 446, 50, 290 on our page.

3. How to find GCD of 442, 446, 50, 290 on a calculator?

You can find the GCD of 442, 446, 50, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.