GCD of 242, 400, 20, 442 Calculator

Given Input numbers are 242, 400, 20, 442

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 242, 400, 20, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 400, 20, 442 is 2.

Therefore, GCD of numbers 242, 400, 20, 442 is 2

Given Input Data is 242, 400, 20, 442

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 442 is 2 x 13 x 17

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(242, 400) = 48400

GCD(242, 400) = ( 242 x 400 ) / 48400

GCD(242, 400) = 96800 / 48400

GCD(242, 400) = 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 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 242, 400, 20, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 125, 94, 985
• GCD of 177, 940, 27, 589
• GCD of 251, 673, 19, 593
• GCD of 963, 582, 93, 692
• GCD of 630, 172, 99, 181

1. What is the GCD of 242, 400, 20, 442?

GCD of 242, 400, 20, 442 is 2

2. Where do I get the detailed procedure to find GCD of 242, 400, 20, 442?

You can find a detailed procedure to find GCD of 242, 400, 20, 442 on our page.

3. How to find GCD of 242, 400, 20, 442 on a calculator?

You can find the GCD of 242, 400, 20, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.