GCD of 828, 229, 19 Calculator

Given Input numbers are 828, 229, 19

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 828, 229, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 229, 19 is 1.

Therefore, GCD of numbers 828, 229, 19 is 1

Given Input Data is 828, 229, 19

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 229 is 229

Prime Factorization of 19 is 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(828, 229) = 189612

GCD(828, 229) = ( 828 x 229 ) / 189612

GCD(828, 229) = 189612 / 189612

GCD(828, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 828, 229, 19 is 1

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1. What is the GCD of 828, 229, 19?

GCD of 828, 229, 19 is 1

2. Where do I get the detailed procedure to find GCD of 828, 229, 19?

You can find a detailed procedure to find GCD of 828, 229, 19 on our page.

3. How to find GCD of 828, 229, 19 on a calculator?

You can find the GCD of 828, 229, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.