GCD of 218, 716, 818, 412 Calculator

Given Input numbers are 218, 716, 818, 412

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 716

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

1, 2, 4, 179, 358, 716

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 218, 716, 818, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 716, 818, 412 is 2.

Therefore, GCD of numbers 218, 716, 818, 412 is 2

Given Input Data is 218, 716, 818, 412

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 818 is 2 x 409

Prime Factorization of 412 is 2 x 2 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 716) = 78044

GCD(218, 716) = ( 218 x 716 ) / 78044

GCD(218, 716) = 156088 / 78044

GCD(218, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 818

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

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

GCD(2, 818) = 1636 / 818

GCD(2, 818) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

GCD of 218, 716, 818, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 264, 822, 243
• GCD of 423, 193, 176, 706
• GCD of 227, 580, 990, 684
• GCD of 895, 968, 284, 210
• GCD of 614, 337, 179, 239

1. What is the GCD of 218, 716, 818, 412?

GCD of 218, 716, 818, 412 is 2

2. Where do I get the detailed procedure to find GCD of 218, 716, 818, 412?

You can find a detailed procedure to find GCD of 218, 716, 818, 412 on our page.

3. How to find GCD of 218, 716, 818, 412 on a calculator?

You can find the GCD of 218, 716, 818, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.