GCD of 299, 885, 828, 727 Calculator

Given Input numbers are 299, 885, 828, 727

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 727

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

1, 727

Greatest Common Divisior

We found the divisors of 299, 885, 828, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 885, 828, 727 is 1.

Therefore, GCD of numbers 299, 885, 828, 727 is 1

Given Input Data is 299, 885, 828, 727

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 727 is 727

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(299, 885) = 264615

GCD(299, 885) = ( 299 x 885 ) / 264615

GCD(299, 885) = 264615 / 264615

GCD(299, 885) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 299, 885, 828, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 444, 743, 907
• GCD of 770, 476, 310, 398
• GCD of 820, 557, 248, 321
• GCD of 771, 801, 142, 813
• GCD of 723, 682, 942, 179

1. What is the GCD of 299, 885, 828, 727?

GCD of 299, 885, 828, 727 is 1

2. Where do I get the detailed procedure to find GCD of 299, 885, 828, 727?

You can find a detailed procedure to find GCD of 299, 885, 828, 727 on our page.

3. How to find GCD of 299, 885, 828, 727 on a calculator?

You can find the GCD of 299, 885, 828, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.