GCD of 358, 342, 28, 328 Calculator

Given Input numbers are 358, 342, 28, 328

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

Divisors of 358

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

1, 2, 179, 358

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 358, 342, 28, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 342, 28, 328 is 2.

Therefore, GCD of numbers 358, 342, 28, 328 is 2

Given Input Data is 358, 342, 28, 328

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(358, 342) = 61218

GCD(358, 342) = ( 358 x 342 ) / 61218

GCD(358, 342) = 122436 / 61218

GCD(358, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 358, 342, 28, 328 is 2

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1. What is the GCD of 358, 342, 28, 328?

GCD of 358, 342, 28, 328 is 2

2. Where do I get the detailed procedure to find GCD of 358, 342, 28, 328?

You can find a detailed procedure to find GCD of 358, 342, 28, 328 on our page.

3. How to find GCD of 358, 342, 28, 328 on a calculator?

You can find the GCD of 358, 342, 28, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.