GCD of 228, 746, 817 Calculator

Given Input numbers are 228, 746, 817

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

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 228, 746, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 746, 817 is 1.

Therefore, GCD of numbers 228, 746, 817 is 1

Given Input Data is 228, 746, 817

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

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 817 is 19 x 43

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(228, 746) = 85044

GCD(228, 746) = ( 228 x 746 ) / 85044

GCD(228, 746) = 170088 / 85044

GCD(228, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 228, 746, 817 is 1

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1. What is the GCD of 228, 746, 817?

GCD of 228, 746, 817 is 1

2. Where do I get the detailed procedure to find GCD of 228, 746, 817?

You can find a detailed procedure to find GCD of 228, 746, 817 on our page.

3. How to find GCD of 228, 746, 817 on a calculator?

You can find the GCD of 228, 746, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.