GCD of 829, 314, 11, 873 Calculator

Given Input numbers are 829, 314, 11, 873

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 829, 314, 11, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 314, 11, 873 is 1.

Therefore, GCD of numbers 829, 314, 11, 873 is 1

Given Input Data is 829, 314, 11, 873

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

Prime Factorization of 829 is 829

Prime Factorization of 314 is 2 x 157

Prime Factorization of 11 is 11

Prime Factorization of 873 is 3 x 3 x 97

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, 314) = 260306

GCD(829, 314) = ( 829 x 314 ) / 260306

GCD(829, 314) = 260306 / 260306

GCD(829, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 829, 314, 11, 873 is 1

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• GCD of 660, 500, 73, 255
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1. What is the GCD of 829, 314, 11, 873?

GCD of 829, 314, 11, 873 is 1

2. Where do I get the detailed procedure to find GCD of 829, 314, 11, 873?

You can find a detailed procedure to find GCD of 829, 314, 11, 873 on our page.

3. How to find GCD of 829, 314, 11, 873 on a calculator?

You can find the GCD of 829, 314, 11, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.