GCD of 829, 727, 539, 552 Calculator

Given Input numbers are 829, 727, 539, 552

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 829, 727, 539, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 727, 539, 552 is 1.

Therefore, GCD of numbers 829, 727, 539, 552 is 1

Given Input Data is 829, 727, 539, 552

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

Prime Factorization of 829 is 829

Prime Factorization of 727 is 727

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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, 727) = 602683

GCD(829, 727) = ( 829 x 727 ) / 602683

GCD(829, 727) = 602683 / 602683

GCD(829, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 829, 727, 539, 552 is 1

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1. What is the GCD of 829, 727, 539, 552?

GCD of 829, 727, 539, 552 is 1

2. Where do I get the detailed procedure to find GCD of 829, 727, 539, 552?

You can find a detailed procedure to find GCD of 829, 727, 539, 552 on our page.

3. How to find GCD of 829, 727, 539, 552 on a calculator?

You can find the GCD of 829, 727, 539, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.