GCD of 241, 817, 360, 297 Calculator

Given Input numbers are 241, 817, 360, 297

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

Divisors of 241

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

1, 241

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 241, 817, 360, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 817, 360, 297 is 1.

Therefore, GCD of numbers 241, 817, 360, 297 is 1

Given Input Data is 241, 817, 360, 297

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

Prime Factorization of 241 is 241

Prime Factorization of 817 is 19 x 43

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(241, 817) = 196897

GCD(241, 817) = ( 241 x 817 ) / 196897

GCD(241, 817) = 196897 / 196897

GCD(241, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 241, 817, 360, 297 is 1

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1. What is the GCD of 241, 817, 360, 297?

GCD of 241, 817, 360, 297 is 1

2. Where do I get the detailed procedure to find GCD of 241, 817, 360, 297?

You can find a detailed procedure to find GCD of 241, 817, 360, 297 on our page.

3. How to find GCD of 241, 817, 360, 297 on a calculator?

You can find the GCD of 241, 817, 360, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.