GCD of 344, 242, 66, 638 Calculator

Given Input numbers are 344, 242, 66, 638

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 344, 242, 66, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 242, 66, 638 is 2.

Therefore, GCD of numbers 344, 242, 66, 638 is 2

Given Input Data is 344, 242, 66, 638

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 638 is 2 x 11 x 29

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(344, 242) = 41624

GCD(344, 242) = ( 344 x 242 ) / 41624

GCD(344, 242) = 83248 / 41624

GCD(344, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 344, 242, 66, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 165, 21, 516
• GCD of 328, 533, 67, 885
• GCD of 298, 702, 97, 207
• GCD of 576, 194, 27, 746
• GCD of 104, 247, 60, 653

1. What is the GCD of 344, 242, 66, 638?

GCD of 344, 242, 66, 638 is 2

2. Where do I get the detailed procedure to find GCD of 344, 242, 66, 638?

You can find a detailed procedure to find GCD of 344, 242, 66, 638 on our page.

3. How to find GCD of 344, 242, 66, 638 on a calculator?

You can find the GCD of 344, 242, 66, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.