GCD of 398, 320, 649 Calculator

Given Input numbers are 398, 320, 649

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 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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 398, 320, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 320, 649 is 1.

Therefore, GCD of numbers 398, 320, 649 is 1

Given Input Data is 398, 320, 649

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

Prime Factorization of 398 is 2 x 199

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

Prime Factorization of 649 is 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

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, 320) = 63680

GCD(398, 320) = ( 398 x 320 ) / 63680

GCD(398, 320) = 127360 / 63680

GCD(398, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

GCD of 398, 320, 649 is 1

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1. What is the GCD of 398, 320, 649?

GCD of 398, 320, 649 is 1

2. Where do I get the detailed procedure to find GCD of 398, 320, 649?

You can find a detailed procedure to find GCD of 398, 320, 649 on our page.

3. How to find GCD of 398, 320, 649 on a calculator?

You can find the GCD of 398, 320, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.