GCD of 729, 873, 61, 657 Calculator

Given Input numbers are 729, 873, 61, 657

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 729, 873, 61, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 873, 61, 657 is 1.

Therefore, GCD of numbers 729, 873, 61, 657 is 1

Given Input Data is 729, 873, 61, 657

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 873 is 3 x 3 x 97

Prime Factorization of 61 is 61

Prime Factorization of 657 is 3 x 3 x 73

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, 873) = 70713

GCD(729, 873) = ( 729 x 873 ) / 70713

GCD(729, 873) = 636417 / 70713

GCD(729, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 61

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

LCM(9, 61) = 549

GCD(9, 61) = ( 9 x 61 ) / 549

GCD(9, 61) = 549 / 549

GCD(9, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 729, 873, 61, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 882, 72, 740
• GCD of 506, 861, 32, 979
• GCD of 992, 311, 72, 260
• GCD of 740, 857, 74, 276
• GCD of 134, 265, 93, 471

1. What is the GCD of 729, 873, 61, 657?

GCD of 729, 873, 61, 657 is 1

2. Where do I get the detailed procedure to find GCD of 729, 873, 61, 657?

You can find a detailed procedure to find GCD of 729, 873, 61, 657 on our page.

3. How to find GCD of 729, 873, 61, 657 on a calculator?

You can find the GCD of 729, 873, 61, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.