GCD of 829, 706, 42, 576 Calculator

Given Input numbers are 829, 706, 42, 576

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 829, 706, 42, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 706, 42, 576 is 1.

Therefore, GCD of numbers 829, 706, 42, 576 is 1

Given Input Data is 829, 706, 42, 576

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

Prime Factorization of 829 is 829

Prime Factorization of 706 is 2 x 353

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 706) = 585274

GCD(829, 706) = ( 829 x 706 ) / 585274

GCD(829, 706) = 585274 / 585274

GCD(829, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 829, 706, 42, 576 is 1

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1. What is the GCD of 829, 706, 42, 576?

GCD of 829, 706, 42, 576 is 1

2. Where do I get the detailed procedure to find GCD of 829, 706, 42, 576?

You can find a detailed procedure to find GCD of 829, 706, 42, 576 on our page.

3. How to find GCD of 829, 706, 42, 576 on a calculator?

You can find the GCD of 829, 706, 42, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.