GCD of 398, 388, 220, 320 Calculator

Given Input numbers are 398, 388, 220, 320

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 398, 388, 220, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 388, 220, 320 is 2.

Therefore, GCD of numbers 398, 388, 220, 320 is 2

Given Input Data is 398, 388, 220, 320

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(398, 388) = 77212

GCD(398, 388) = ( 398 x 388 ) / 77212

GCD(398, 388) = 154424 / 77212

GCD(398, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

GCD of 398, 388, 220, 320 is 2

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1. What is the GCD of 398, 388, 220, 320?

GCD of 398, 388, 220, 320 is 2

2. Where do I get the detailed procedure to find GCD of 398, 388, 220, 320?

You can find a detailed procedure to find GCD of 398, 388, 220, 320 on our page.

3. How to find GCD of 398, 388, 220, 320 on a calculator?

You can find the GCD of 398, 388, 220, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.