GCD of 130, 145, 27, 865 Calculator

Given Input numbers are 130, 145, 27, 865

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 130, 145, 27, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 145, 27, 865 is 1.

Therefore, GCD of numbers 130, 145, 27, 865 is 1

Given Input Data is 130, 145, 27, 865

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 145 is 5 x 29

Prime Factorization of 27 is 3 x 3 x 3

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(130, 145) = 3770

GCD(130, 145) = ( 130 x 145 ) / 3770

GCD(130, 145) = 18850 / 3770

GCD(130, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 27

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

LCM(5, 27) = 135

GCD(5, 27) = ( 5 x 27 ) / 135

GCD(5, 27) = 135 / 135

GCD(5, 27) = 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 130, 145, 27, 865 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 165, 89, 792
• GCD of 334, 172, 24, 459
• GCD of 914, 101, 40, 703
• GCD of 173, 336, 84, 742
• GCD of 441, 298, 90, 901

1. What is the GCD of 130, 145, 27, 865?

GCD of 130, 145, 27, 865 is 1

2. Where do I get the detailed procedure to find GCD of 130, 145, 27, 865?

You can find a detailed procedure to find GCD of 130, 145, 27, 865 on our page.

3. How to find GCD of 130, 145, 27, 865 on a calculator?

You can find the GCD of 130, 145, 27, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.