GCD of 498, 217, 317 Calculator

Given Input numbers are 498, 217, 317

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

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 498, 217, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 217, 317 is 1.

Therefore, GCD of numbers 498, 217, 317 is 1

Given Input Data is 498, 217, 317

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 217 is 7 x 31

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(498, 217) = 108066

GCD(498, 217) = ( 498 x 217 ) / 108066

GCD(498, 217) = 108066 / 108066

GCD(498, 217) = 1

Step2:

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 498, 217, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 907, 530
• GCD of 140, 508, 669
• GCD of 638, 512, 526
• GCD of 444, 387, 547
• GCD of 364, 976, 527

1. What is the GCD of 498, 217, 317?

GCD of 498, 217, 317 is 1

2. Where do I get the detailed procedure to find GCD of 498, 217, 317?

You can find a detailed procedure to find GCD of 498, 217, 317 on our page.

3. How to find GCD of 498, 217, 317 on a calculator?

You can find the GCD of 498, 217, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.