GCD of 398, 912, 64, 568 Calculator

Given Input numbers are 398, 912, 64, 568

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 398, 912, 64, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 912, 64, 568 is 2.

Therefore, GCD of numbers 398, 912, 64, 568 is 2

Given Input Data is 398, 912, 64, 568

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 568 is 2 x 2 x 2 x 71

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, 912) = 181488

GCD(398, 912) = ( 398 x 912 ) / 181488

GCD(398, 912) = 362976 / 181488

GCD(398, 912) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 398, 912, 64, 568 is 2

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1. What is the GCD of 398, 912, 64, 568?

GCD of 398, 912, 64, 568 is 2

2. Where do I get the detailed procedure to find GCD of 398, 912, 64, 568?

You can find a detailed procedure to find GCD of 398, 912, 64, 568 on our page.

3. How to find GCD of 398, 912, 64, 568 on a calculator?

You can find the GCD of 398, 912, 64, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.