GCD of 105, 559, 241, 851 Calculator

Given Input numbers are 105, 559, 241, 851

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 241

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

1, 241

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 105, 559, 241, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 559, 241, 851 is 1.

Therefore, GCD of numbers 105, 559, 241, 851 is 1

Given Input Data is 105, 559, 241, 851

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 559 is 13 x 43

Prime Factorization of 241 is 241

Prime Factorization of 851 is 23 x 37

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(105, 559) = 58695

GCD(105, 559) = ( 105 x 559 ) / 58695

GCD(105, 559) = 58695 / 58695

GCD(105, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 105, 559, 241, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 816, 658, 680
• GCD of 263, 992, 784, 403
• GCD of 515, 108, 965, 829
• GCD of 140, 127, 160, 980
• GCD of 607, 961, 748, 769

1. What is the GCD of 105, 559, 241, 851?

GCD of 105, 559, 241, 851 is 1

2. Where do I get the detailed procedure to find GCD of 105, 559, 241, 851?

You can find a detailed procedure to find GCD of 105, 559, 241, 851 on our page.

3. How to find GCD of 105, 559, 241, 851 on a calculator?

You can find the GCD of 105, 559, 241, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.