GCD of 573, 585, 14, 171 Calculator

Given Input numbers are 573, 585, 14, 171

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 573, 585, 14, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 585, 14, 171 is 1.

Therefore, GCD of numbers 573, 585, 14, 171 is 1

Given Input Data is 573, 585, 14, 171

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 171 is 3 x 3 x 19

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(573, 585) = 111735

GCD(573, 585) = ( 573 x 585 ) / 111735

GCD(573, 585) = 335205 / 111735

GCD(573, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 573, 585, 14, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 398, 20, 114
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• GCD of 399, 455, 45, 154

1. What is the GCD of 573, 585, 14, 171?

GCD of 573, 585, 14, 171 is 1

2. Where do I get the detailed procedure to find GCD of 573, 585, 14, 171?

You can find a detailed procedure to find GCD of 573, 585, 14, 171 on our page.

3. How to find GCD of 573, 585, 14, 171 on a calculator?

You can find the GCD of 573, 585, 14, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.