GCD of 319, 228, 88, 829 Calculator

Given Input numbers are 319, 228, 88, 829

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 319, 228, 88, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 228, 88, 829 is 1.

Therefore, GCD of numbers 319, 228, 88, 829 is 1

Given Input Data is 319, 228, 88, 829

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

Prime Factorization of 319 is 11 x 29

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 829 is 829

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(319, 228) = 72732

GCD(319, 228) = ( 319 x 228 ) / 72732

GCD(319, 228) = 72732 / 72732

GCD(319, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 319, 228, 88, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 760, 61, 999
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• GCD of 367, 953, 39, 867

1. What is the GCD of 319, 228, 88, 829?

GCD of 319, 228, 88, 829 is 1

2. Where do I get the detailed procedure to find GCD of 319, 228, 88, 829?

You can find a detailed procedure to find GCD of 319, 228, 88, 829 on our page.

3. How to find GCD of 319, 228, 88, 829 on a calculator?

You can find the GCD of 319, 228, 88, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.