GCD of 564, 882, 17, 173 Calculator

Given Input numbers are 564, 882, 17, 173

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 564, 882, 17, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 882, 17, 173 is 1.

Therefore, GCD of numbers 564, 882, 17, 173 is 1

Given Input Data is 564, 882, 17, 173

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 17 is 17

Prime Factorization of 173 is 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(564, 882) = 82908

GCD(564, 882) = ( 564 x 882 ) / 82908

GCD(564, 882) = 497448 / 82908

GCD(564, 882) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 17

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

LCM(6, 17) = 102

GCD(6, 17) = ( 6 x 17 ) / 102

GCD(6, 17) = 102 / 102

GCD(6, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 564, 882, 17, 173 is 1

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• GCD of 923, 316, 77, 458
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1. What is the GCD of 564, 882, 17, 173?

GCD of 564, 882, 17, 173 is 1

2. Where do I get the detailed procedure to find GCD of 564, 882, 17, 173?

You can find a detailed procedure to find GCD of 564, 882, 17, 173 on our page.

3. How to find GCD of 564, 882, 17, 173 on a calculator?

You can find the GCD of 564, 882, 17, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.