GCD of 34, 994, 729, 872 Calculator

Given Input numbers are 34, 994, 729, 872

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 34, 994, 729, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 994, 729, 872 is 1.

Therefore, GCD of numbers 34, 994, 729, 872 is 1

Given Input Data is 34, 994, 729, 872

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(34, 994) = 16898

GCD(34, 994) = ( 34 x 994 ) / 16898

GCD(34, 994) = 33796 / 16898

GCD(34, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 34, 994, 729, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 294, 552, 775
• GCD of 24, 255, 661, 453
• GCD of 88, 696, 293, 597
• GCD of 63, 324, 561, 701
• GCD of 91, 163, 775, 758

1. What is the GCD of 34, 994, 729, 872?

GCD of 34, 994, 729, 872 is 1

2. Where do I get the detailed procedure to find GCD of 34, 994, 729, 872?

You can find a detailed procedure to find GCD of 34, 994, 729, 872 on our page.

3. How to find GCD of 34, 994, 729, 872 on a calculator?

You can find the GCD of 34, 994, 729, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.