GCD of 397, 159, 228, 798 Calculator

Given Input numbers are 397, 159, 228, 798

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

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 397, 159, 228, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 159, 228, 798 is 1.

Therefore, GCD of numbers 397, 159, 228, 798 is 1

Given Input Data is 397, 159, 228, 798

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

Prime Factorization of 397 is 397

Prime Factorization of 159 is 3 x 53

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(397, 159) = 63123

GCD(397, 159) = ( 397 x 159 ) / 63123

GCD(397, 159) = 63123 / 63123

GCD(397, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 397, 159, 228, 798 is 1

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1. What is the GCD of 397, 159, 228, 798?

GCD of 397, 159, 228, 798 is 1

2. Where do I get the detailed procedure to find GCD of 397, 159, 228, 798?

You can find a detailed procedure to find GCD of 397, 159, 228, 798 on our page.

3. How to find GCD of 397, 159, 228, 798 on a calculator?

You can find the GCD of 397, 159, 228, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.