GCD of 802, 255, 648, 398 Calculator

Given Input numbers are 802, 255, 648, 398

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 802, 255, 648, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 255, 648, 398 is 1.

Therefore, GCD of numbers 802, 255, 648, 398 is 1

Given Input Data is 802, 255, 648, 398

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 398 is 2 x 199

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(802, 255) = 204510

GCD(802, 255) = ( 802 x 255 ) / 204510

GCD(802, 255) = 204510 / 204510

GCD(802, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 802, 255, 648, 398 is 1

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1. What is the GCD of 802, 255, 648, 398?

GCD of 802, 255, 648, 398 is 1

2. Where do I get the detailed procedure to find GCD of 802, 255, 648, 398?

You can find a detailed procedure to find GCD of 802, 255, 648, 398 on our page.

3. How to find GCD of 802, 255, 648, 398 on a calculator?

You can find the GCD of 802, 255, 648, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.