GCD of 105, 305, 244, 865 Calculator

Given Input numbers are 105, 305, 244, 865

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 105, 305, 244, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 305, 244, 865 is 1.

Therefore, GCD of numbers 105, 305, 244, 865 is 1

Given Input Data is 105, 305, 244, 865

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 305 is 5 x 61

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 865 is 5 x 173

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, 305) = 6405

GCD(105, 305) = ( 105 x 305 ) / 6405

GCD(105, 305) = 32025 / 6405

GCD(105, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 244

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

LCM(5, 244) = 1220

GCD(5, 244) = ( 5 x 244 ) / 1220

GCD(5, 244) = 1220 / 1220

GCD(5, 244) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 105, 305, 244, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 156, 135, 174
• GCD of 722, 796, 737, 747
• GCD of 867, 465, 319, 905
• GCD of 825, 411, 692, 729
• GCD of 598, 787, 874, 969

1. What is the GCD of 105, 305, 244, 865?

GCD of 105, 305, 244, 865 is 1

2. Where do I get the detailed procedure to find GCD of 105, 305, 244, 865?

You can find a detailed procedure to find GCD of 105, 305, 244, 865 on our page.

3. How to find GCD of 105, 305, 244, 865 on a calculator?

You can find the GCD of 105, 305, 244, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.