GCD of 829, 705, 71, 304 Calculator

Given Input numbers are 829, 705, 71, 304

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 829, 705, 71, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 705, 71, 304 is 1.

Therefore, GCD of numbers 829, 705, 71, 304 is 1

Given Input Data is 829, 705, 71, 304

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

Prime Factorization of 829 is 829

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 71 is 71

Prime Factorization of 304 is 2 x 2 x 2 x 2 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(829, 705) = 584445

GCD(829, 705) = ( 829 x 705 ) / 584445

GCD(829, 705) = 584445 / 584445

GCD(829, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 829, 705, 71, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 594, 64, 607
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• GCD of 563, 472, 48, 739
• GCD of 104, 663, 57, 514
• GCD of 621, 329, 69, 593

1. What is the GCD of 829, 705, 71, 304?

GCD of 829, 705, 71, 304 is 1

2. Where do I get the detailed procedure to find GCD of 829, 705, 71, 304?

You can find a detailed procedure to find GCD of 829, 705, 71, 304 on our page.

3. How to find GCD of 829, 705, 71, 304 on a calculator?

You can find the GCD of 829, 705, 71, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.