GCD of 218, 517, 97, 396 Calculator

Given Input numbers are 218, 517, 97, 396

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 218, 517, 97, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 517, 97, 396 is 1.

Therefore, GCD of numbers 218, 517, 97, 396 is 1

Given Input Data is 218, 517, 97, 396

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 517 is 11 x 47

Prime Factorization of 97 is 97

Prime Factorization of 396 is 2 x 2 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(218, 517) = 112706

GCD(218, 517) = ( 218 x 517 ) / 112706

GCD(218, 517) = 112706 / 112706

GCD(218, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 218, 517, 97, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 232, 21, 559
• GCD of 133, 200, 61, 854
• GCD of 248, 138, 40, 184
• GCD of 806, 525, 15, 460
• GCD of 521, 360, 67, 649

1. What is the GCD of 218, 517, 97, 396?

GCD of 218, 517, 97, 396 is 1

2. Where do I get the detailed procedure to find GCD of 218, 517, 97, 396?

You can find a detailed procedure to find GCD of 218, 517, 97, 396 on our page.

3. How to find GCD of 218, 517, 97, 396 on a calculator?

You can find the GCD of 218, 517, 97, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.