GCD of 22, 398, 942, 328 Calculator

Given Input numbers are 22, 398, 942, 328

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 22, 398, 942, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 398, 942, 328 is 2.

Therefore, GCD of numbers 22, 398, 942, 328 is 2

Given Input Data is 22, 398, 942, 328

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 398 is 2 x 199

Prime Factorization of 942 is 2 x 3 x 157

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(22, 398) = 4378

GCD(22, 398) = ( 22 x 398 ) / 4378

GCD(22, 398) = 8756 / 4378

GCD(22, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 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 22, 398, 942, 328 is 2

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• GCD of 28, 434, 226, 728
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1. What is the GCD of 22, 398, 942, 328?

GCD of 22, 398, 942, 328 is 2

2. Where do I get the detailed procedure to find GCD of 22, 398, 942, 328?

You can find a detailed procedure to find GCD of 22, 398, 942, 328 on our page.

3. How to find GCD of 22, 398, 942, 328 on a calculator?

You can find the GCD of 22, 398, 942, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.