GCD of 829, 106, 129, 682 Calculator

Given Input numbers are 829, 106, 129, 682

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 829, 106, 129, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 106, 129, 682 is 1.

Therefore, GCD of numbers 829, 106, 129, 682 is 1

Given Input Data is 829, 106, 129, 682

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

Prime Factorization of 829 is 829

Prime Factorization of 106 is 2 x 53

Prime Factorization of 129 is 3 x 43

Prime Factorization of 682 is 2 x 11 x 31

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, 106) = 87874

GCD(829, 106) = ( 829 x 106 ) / 87874

GCD(829, 106) = 87874 / 87874

GCD(829, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 829, 106, 129, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 170, 672, 318
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1. What is the GCD of 829, 106, 129, 682?

GCD of 829, 106, 129, 682 is 1

2. Where do I get the detailed procedure to find GCD of 829, 106, 129, 682?

You can find a detailed procedure to find GCD of 829, 106, 129, 682 on our page.

3. How to find GCD of 829, 106, 129, 682 on a calculator?

You can find the GCD of 829, 106, 129, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.