GCD of 218, 391, 22, 716 Calculator

Given Input numbers are 218, 391, 22, 716

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 218, 391, 22, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 391, 22, 716 is 1.

Therefore, GCD of numbers 218, 391, 22, 716 is 1

Given Input Data is 218, 391, 22, 716

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 391 is 17 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 716 is 2 x 2 x 179

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, 391) = 85238

GCD(218, 391) = ( 218 x 391 ) / 85238

GCD(218, 391) = 85238 / 85238

GCD(218, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 218, 391, 22, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 799, 33, 444
• GCD of 894, 694, 88, 920
• GCD of 445, 724, 18, 201
• GCD of 551, 836, 42, 785
• GCD of 634, 209, 47, 444

1. What is the GCD of 218, 391, 22, 716?

GCD of 218, 391, 22, 716 is 1

2. Where do I get the detailed procedure to find GCD of 218, 391, 22, 716?

You can find a detailed procedure to find GCD of 218, 391, 22, 716 on our page.

3. How to find GCD of 218, 391, 22, 716 on a calculator?

You can find the GCD of 218, 391, 22, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.