GCD of 898, 244, 513, 729 Calculator

Given Input numbers are 898, 244, 513, 729

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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 898, 244, 513, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 244, 513, 729 is 1.

Therefore, GCD of numbers 898, 244, 513, 729 is 1

Given Input Data is 898, 244, 513, 729

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(898, 244) = 109556

GCD(898, 244) = ( 898 x 244 ) / 109556

GCD(898, 244) = 219112 / 109556

GCD(898, 244) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 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 898, 244, 513, 729 is 1

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1. What is the GCD of 898, 244, 513, 729?

GCD of 898, 244, 513, 729 is 1

2. Where do I get the detailed procedure to find GCD of 898, 244, 513, 729?

You can find a detailed procedure to find GCD of 898, 244, 513, 729 on our page.

3. How to find GCD of 898, 244, 513, 729 on a calculator?

You can find the GCD of 898, 244, 513, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.