GCD of 613, 198, 21, 318 Calculator

Given Input numbers are 613, 198, 21, 318

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 613, 198, 21, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 198, 21, 318 is 1.

Therefore, GCD of numbers 613, 198, 21, 318 is 1

Given Input Data is 613, 198, 21, 318

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

Prime Factorization of 613 is 613

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 318 is 2 x 3 x 53

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(613, 198) = 121374

GCD(613, 198) = ( 613 x 198 ) / 121374

GCD(613, 198) = 121374 / 121374

GCD(613, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 613, 198, 21, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 110, 14, 762
• GCD of 284, 472, 26, 537
• GCD of 132, 360, 10, 185
• GCD of 509, 268, 11, 250
• GCD of 340, 760, 32, 739

1. What is the GCD of 613, 198, 21, 318?

GCD of 613, 198, 21, 318 is 1

2. Where do I get the detailed procedure to find GCD of 613, 198, 21, 318?

You can find a detailed procedure to find GCD of 613, 198, 21, 318 on our page.

3. How to find GCD of 613, 198, 21, 318 on a calculator?

You can find the GCD of 613, 198, 21, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.