GCD of 829, 849, 281, 704 Calculator

Given Input numbers are 829, 849, 281, 704

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 829, 849, 281, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 849, 281, 704 is 1.

Therefore, GCD of numbers 829, 849, 281, 704 is 1

Given Input Data is 829, 849, 281, 704

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

Prime Factorization of 829 is 829

Prime Factorization of 849 is 3 x 283

Prime Factorization of 281 is 281

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 849) = 703821

GCD(829, 849) = ( 829 x 849 ) / 703821

GCD(829, 849) = 703821 / 703821

GCD(829, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 829, 849, 281, 704 is 1

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1. What is the GCD of 829, 849, 281, 704?

GCD of 829, 849, 281, 704 is 1

2. Where do I get the detailed procedure to find GCD of 829, 849, 281, 704?

You can find a detailed procedure to find GCD of 829, 849, 281, 704 on our page.

3. How to find GCD of 829, 849, 281, 704 on a calculator?

You can find the GCD of 829, 849, 281, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.