GCD of 830, 624, 839, 228 Calculator

Given Input numbers are 830, 624, 839, 228

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

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

Greatest Common Divisior

We found the divisors of 830, 624, 839, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 624, 839, 228 is 1.

Therefore, GCD of numbers 830, 624, 839, 228 is 1

Given Input Data is 830, 624, 839, 228

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 839 is 839

Prime Factorization of 228 is 2 x 2 x 3 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(830, 624) = 258960

GCD(830, 624) = ( 830 x 624 ) / 258960

GCD(830, 624) = 517920 / 258960

GCD(830, 624) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 839

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

LCM(2, 839) = 1678

GCD(2, 839) = ( 2 x 839 ) / 1678

GCD(2, 839) = 1678 / 1678

GCD(2, 839) = 1

Step3:

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

GCD of 830, 624, 839, 228 is 1

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1. What is the GCD of 830, 624, 839, 228?

GCD of 830, 624, 839, 228 is 1

2. Where do I get the detailed procedure to find GCD of 830, 624, 839, 228?

You can find a detailed procedure to find GCD of 830, 624, 839, 228 on our page.

3. How to find GCD of 830, 624, 839, 228 on a calculator?

You can find the GCD of 830, 624, 839, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.