GCD of 728, 706, 29, 894 Calculator

Given Input numbers are 728, 706, 29, 894

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 706

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

1, 2, 353, 706

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 728, 706, 29, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 706, 29, 894 is 1.

Therefore, GCD of numbers 728, 706, 29, 894 is 1

Given Input Data is 728, 706, 29, 894

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 706 is 2 x 353

Prime Factorization of 29 is 29

Prime Factorization of 894 is 2 x 3 x 149

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(728, 706) = 256984

GCD(728, 706) = ( 728 x 706 ) / 256984

GCD(728, 706) = 513968 / 256984

GCD(728, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 728, 706, 29, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 863, 79, 364
• GCD of 472, 908, 11, 205
• GCD of 391, 115, 59, 962
• GCD of 329, 354, 93, 895
• GCD of 572, 162, 41, 723

1. What is the GCD of 728, 706, 29, 894?

GCD of 728, 706, 29, 894 is 1

2. Where do I get the detailed procedure to find GCD of 728, 706, 29, 894?

You can find a detailed procedure to find GCD of 728, 706, 29, 894 on our page.

3. How to find GCD of 728, 706, 29, 894 on a calculator?

You can find the GCD of 728, 706, 29, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.