GCD of 208, 259, 81, 144 Calculator

Given Input numbers are 208, 259, 81, 144

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 259

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

1, 7, 37, 259

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 208, 259, 81, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 259, 81, 144 is 1.

Therefore, GCD of numbers 208, 259, 81, 144 is 1

Given Input Data is 208, 259, 81, 144

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 259 is 7 x 37

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(208, 259) = 53872

GCD(208, 259) = ( 208 x 259 ) / 53872

GCD(208, 259) = 53872 / 53872

GCD(208, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 208, 259, 81, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 701, 67, 659
• GCD of 329, 111, 77, 793
• GCD of 610, 342, 49, 950
• GCD of 359, 629, 59, 758
• GCD of 498, 205, 15, 993

1. What is the GCD of 208, 259, 81, 144?

GCD of 208, 259, 81, 144 is 1

2. Where do I get the detailed procedure to find GCD of 208, 259, 81, 144?

You can find a detailed procedure to find GCD of 208, 259, 81, 144 on our page.

3. How to find GCD of 208, 259, 81, 144 on a calculator?

You can find the GCD of 208, 259, 81, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.