GCD of 144, 593, 208, 317 Calculator

Given Input numbers are 144, 593, 208, 317

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

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

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 144, 593, 208, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 593, 208, 317 is 1.

Therefore, GCD of numbers 144, 593, 208, 317 is 1

Given Input Data is 144, 593, 208, 317

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

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

Prime Factorization of 593 is 593

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

Prime Factorization of 317 is 317

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(144, 593) = 85392

GCD(144, 593) = ( 144 x 593 ) / 85392

GCD(144, 593) = 85392 / 85392

GCD(144, 593) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 144, 593, 208, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 175, 496, 573
• GCD of 653, 494, 726, 373
• GCD of 252, 209, 569, 252
• GCD of 533, 456, 465, 847
• GCD of 690, 252, 562, 315

1. What is the GCD of 144, 593, 208, 317?

GCD of 144, 593, 208, 317 is 1

2. Where do I get the detailed procedure to find GCD of 144, 593, 208, 317?

You can find a detailed procedure to find GCD of 144, 593, 208, 317 on our page.

3. How to find GCD of 144, 593, 208, 317 on a calculator?

You can find the GCD of 144, 593, 208, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.