GCD of 173, 498, 513 Calculator

Given Input numbers are 173, 498, 513

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

Divisors of 173

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

1, 173

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 173, 498, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 498, 513 is 1.

Therefore, GCD of numbers 173, 498, 513 is 1

Given Input Data is 173, 498, 513

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

Prime Factorization of 173 is 173

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 513 is 3 x 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(173, 498) = 86154

GCD(173, 498) = ( 173 x 498 ) / 86154

GCD(173, 498) = 86154 / 86154

GCD(173, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 173, 498, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 950, 292
• GCD of 777, 434, 440
• GCD of 268, 998, 616
• GCD of 823, 657, 810
• GCD of 556, 441, 536

1. What is the GCD of 173, 498, 513?

GCD of 173, 498, 513 is 1

2. Where do I get the detailed procedure to find GCD of 173, 498, 513?

You can find a detailed procedure to find GCD of 173, 498, 513 on our page.

3. How to find GCD of 173, 498, 513 on a calculator?

You can find the GCD of 173, 498, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.