GCD of 829, 774, 630, 382 Calculator

Given Input numbers are 829, 774, 630, 382

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 829, 774, 630, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 774, 630, 382 is 1.

Therefore, GCD of numbers 829, 774, 630, 382 is 1

Given Input Data is 829, 774, 630, 382

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

Prime Factorization of 829 is 829

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 382 is 2 x 191

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, 774) = 641646

GCD(829, 774) = ( 829 x 774 ) / 641646

GCD(829, 774) = 641646 / 641646

GCD(829, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 829, 774, 630, 382 is 1

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1. What is the GCD of 829, 774, 630, 382?

GCD of 829, 774, 630, 382 is 1

2. Where do I get the detailed procedure to find GCD of 829, 774, 630, 382?

You can find a detailed procedure to find GCD of 829, 774, 630, 382 on our page.

3. How to find GCD of 829, 774, 630, 382 on a calculator?

You can find the GCD of 829, 774, 630, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.