GCD of 550, 314, 812, 241 Calculator

Given Input numbers are 550, 314, 812, 241

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 550, 314, 812, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 314, 812, 241 is 1.

Therefore, GCD of numbers 550, 314, 812, 241 is 1

Given Input Data is 550, 314, 812, 241

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 314 is 2 x 157

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 241 is 241

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(550, 314) = 86350

GCD(550, 314) = ( 550 x 314 ) / 86350

GCD(550, 314) = 172700 / 86350

GCD(550, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 241

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

LCM(2, 241) = 482

GCD(2, 241) = ( 2 x 241 ) / 482

GCD(2, 241) = 482 / 482

GCD(2, 241) = 1

GCD of 550, 314, 812, 241 is 1

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1. What is the GCD of 550, 314, 812, 241?

GCD of 550, 314, 812, 241 is 1

2. Where do I get the detailed procedure to find GCD of 550, 314, 812, 241?

You can find a detailed procedure to find GCD of 550, 314, 812, 241 on our page.

3. How to find GCD of 550, 314, 812, 241 on a calculator?

You can find the GCD of 550, 314, 812, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.