GCD of 493, 198, 99, 297 Calculator

Given Input numbers are 493, 198, 99, 297

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 493, 198, 99, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 198, 99, 297 is 1.

Therefore, GCD of numbers 493, 198, 99, 297 is 1

Given Input Data is 493, 198, 99, 297

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(493, 198) = 97614

GCD(493, 198) = ( 493 x 198 ) / 97614

GCD(493, 198) = 97614 / 97614

GCD(493, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 493, 198, 99, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 442, 69, 681
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• GCD of 499, 119, 44, 440

1. What is the GCD of 493, 198, 99, 297?

GCD of 493, 198, 99, 297 is 1

2. Where do I get the detailed procedure to find GCD of 493, 198, 99, 297?

You can find a detailed procedure to find GCD of 493, 198, 99, 297 on our page.

3. How to find GCD of 493, 198, 99, 297 on a calculator?

You can find the GCD of 493, 198, 99, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.