GCD of 261, 791, 498, 729 Calculator

Given Input numbers are 261, 791, 498, 729

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 729

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

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

Greatest Common Divisior

We found the divisors of 261, 791, 498, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 791, 498, 729 is 1.

Therefore, GCD of numbers 261, 791, 498, 729 is 1

Given Input Data is 261, 791, 498, 729

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 791 is 7 x 113

Prime Factorization of 498 is 2 x 3 x 83

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

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(261, 791) = 206451

GCD(261, 791) = ( 261 x 791 ) / 206451

GCD(261, 791) = 206451 / 206451

GCD(261, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 261, 791, 498, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 407, 760, 500
• GCD of 944, 449, 978, 857
• GCD of 228, 527, 208, 415
• GCD of 677, 917, 107, 261
• GCD of 770, 514, 772, 647

1. What is the GCD of 261, 791, 498, 729?

GCD of 261, 791, 498, 729 is 1

2. Where do I get the detailed procedure to find GCD of 261, 791, 498, 729?

You can find a detailed procedure to find GCD of 261, 791, 498, 729 on our page.

3. How to find GCD of 261, 791, 498, 729 on a calculator?

You can find the GCD of 261, 791, 498, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.