GCD of 81, 259, 258, 172 Calculator

Given Input numbers are 81, 259, 258, 172

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 81, 259, 258, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 259, 258, 172 is 1.

Therefore, GCD of numbers 81, 259, 258, 172 is 1

Given Input Data is 81, 259, 258, 172

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 259 is 7 x 37

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 172 is 2 x 2 x 43

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(81, 259) = 20979

GCD(81, 259) = ( 81 x 259 ) / 20979

GCD(81, 259) = 20979 / 20979

GCD(81, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 81, 259, 258, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 472, 843, 816
• GCD of 37, 838, 353, 260
• GCD of 39, 114, 332, 519
• GCD of 15, 584, 549, 108
• GCD of 91, 172, 501, 149

1. What is the GCD of 81, 259, 258, 172?

GCD of 81, 259, 258, 172 is 1

2. Where do I get the detailed procedure to find GCD of 81, 259, 258, 172?

You can find a detailed procedure to find GCD of 81, 259, 258, 172 on our page.

3. How to find GCD of 81, 259, 258, 172 on a calculator?

You can find the GCD of 81, 259, 258, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.