GCD of 829, 227, 34, 307 Calculator

Given Input numbers are 829, 227, 34, 307

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

Divisors of 829

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

1, 829

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 829, 227, 34, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 227, 34, 307 is 1.

Therefore, GCD of numbers 829, 227, 34, 307 is 1

Given Input Data is 829, 227, 34, 307

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

Prime Factorization of 829 is 829

Prime Factorization of 227 is 227

Prime Factorization of 34 is 2 x 17

Prime Factorization of 307 is 307

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(829, 227) = 188183

GCD(829, 227) = ( 829 x 227 ) / 188183

GCD(829, 227) = 188183 / 188183

GCD(829, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 829, 227, 34, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 521, 37, 246
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• GCD of 493, 232, 34, 792

1. What is the GCD of 829, 227, 34, 307?

GCD of 829, 227, 34, 307 is 1

2. Where do I get the detailed procedure to find GCD of 829, 227, 34, 307?

You can find a detailed procedure to find GCD of 829, 227, 34, 307 on our page.

3. How to find GCD of 829, 227, 34, 307 on a calculator?

You can find the GCD of 829, 227, 34, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.