GCD of 242, 333, 21, 575 Calculator

Given Input numbers are 242, 333, 21, 575

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 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 242, 333, 21, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 333, 21, 575 is 1.

Therefore, GCD of numbers 242, 333, 21, 575 is 1

Given Input Data is 242, 333, 21, 575

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 333 is 3 x 3 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 575 is 5 x 5 x 23

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(242, 333) = 80586

GCD(242, 333) = ( 242 x 333 ) / 80586

GCD(242, 333) = 80586 / 80586

GCD(242, 333) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 242, 333, 21, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 532, 16, 937
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• GCD of 729, 214, 96, 641
• GCD of 511, 577, 53, 645

1. What is the GCD of 242, 333, 21, 575?

GCD of 242, 333, 21, 575 is 1

2. Where do I get the detailed procedure to find GCD of 242, 333, 21, 575?

You can find a detailed procedure to find GCD of 242, 333, 21, 575 on our page.

3. How to find GCD of 242, 333, 21, 575 on a calculator?

You can find the GCD of 242, 333, 21, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.