GCD of 242, 218, 214 Calculator

Given Input numbers are 242, 218, 214

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 218

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

1, 2, 109, 218

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 242, 218, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 218, 214 is 2.

Therefore, GCD of numbers 242, 218, 214 is 2

Given Input Data is 242, 218, 214

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 218 is 2 x 109

Prime Factorization of 214 is 2 x 107

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(242, 218) = 26378

GCD(242, 218) = ( 242 x 218 ) / 26378

GCD(242, 218) = 52756 / 26378

GCD(242, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 242, 218, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 518, 434
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• GCD of 201, 381, 392
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1. What is the GCD of 242, 218, 214?

GCD of 242, 218, 214 is 2

2. Where do I get the detailed procedure to find GCD of 242, 218, 214?

You can find a detailed procedure to find GCD of 242, 218, 214 on our page.

3. How to find GCD of 242, 218, 214 on a calculator?

You can find the GCD of 242, 218, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.