GCD of 241, 861, 18, 514 Calculator

Given Input numbers are 241, 861, 18, 514

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 241, 861, 18, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 861, 18, 514 is 1.

Therefore, GCD of numbers 241, 861, 18, 514 is 1

Given Input Data is 241, 861, 18, 514

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

Prime Factorization of 241 is 241

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 514 is 2 x 257

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, 861) = 207501

GCD(241, 861) = ( 241 x 861 ) / 207501

GCD(241, 861) = 207501 / 207501

GCD(241, 861) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 241, 861, 18, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 770, 93, 302
• GCD of 618, 761, 64, 628
• GCD of 420, 155, 42, 616
• GCD of 470, 882, 34, 205
• GCD of 476, 970, 38, 578

1. What is the GCD of 241, 861, 18, 514?

GCD of 241, 861, 18, 514 is 1

2. Where do I get the detailed procedure to find GCD of 241, 861, 18, 514?

You can find a detailed procedure to find GCD of 241, 861, 18, 514 on our page.

3. How to find GCD of 241, 861, 18, 514 on a calculator?

You can find the GCD of 241, 861, 18, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.