GCD of 729, 892, 56, 824 Calculator

Given Input numbers are 729, 892, 56, 824

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

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 729, 892, 56, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 892, 56, 824 is 1.

Therefore, GCD of numbers 729, 892, 56, 824 is 1

Given Input Data is 729, 892, 56, 824

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

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(729, 892) = 650268

GCD(729, 892) = ( 729 x 892 ) / 650268

GCD(729, 892) = 650268 / 650268

GCD(729, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 729, 892, 56, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 504, 33, 965
• GCD of 451, 306, 85, 536
• GCD of 587, 919, 66, 987
• GCD of 853, 999, 31, 975
• GCD of 890, 443, 13, 724

1. What is the GCD of 729, 892, 56, 824?

GCD of 729, 892, 56, 824 is 1

2. Where do I get the detailed procedure to find GCD of 729, 892, 56, 824?

You can find a detailed procedure to find GCD of 729, 892, 56, 824 on our page.

3. How to find GCD of 729, 892, 56, 824 on a calculator?

You can find the GCD of 729, 892, 56, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.