GCD of 344, 418, 38, 358 Calculator

Given Input numbers are 344, 418, 38, 358

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 344, 418, 38, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 418, 38, 358 is 2.

Therefore, GCD of numbers 344, 418, 38, 358 is 2

Given Input Data is 344, 418, 38, 358

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 418 is 2 x 11 x 19

Prime Factorization of 38 is 2 x 19

Prime Factorization of 358 is 2 x 179

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, 418) = 71896

GCD(344, 418) = ( 344 x 418 ) / 71896

GCD(344, 418) = 143792 / 71896

GCD(344, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 344, 418, 38, 358 is 2

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• GCD of 163, 646, 71, 494
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1. What is the GCD of 344, 418, 38, 358?

GCD of 344, 418, 38, 358 is 2

2. Where do I get the detailed procedure to find GCD of 344, 418, 38, 358?

You can find a detailed procedure to find GCD of 344, 418, 38, 358 on our page.

3. How to find GCD of 344, 418, 38, 358 on a calculator?

You can find the GCD of 344, 418, 38, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.