GCD of 729, 401, 613, 986 Calculator

Given Input numbers are 729, 401, 613, 986

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 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 729, 401, 613, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 401, 613, 986 is 1.

Therefore, GCD of numbers 729, 401, 613, 986 is 1

Given Input Data is 729, 401, 613, 986

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 401 is 401

Prime Factorization of 613 is 613

Prime Factorization of 986 is 2 x 17 x 29

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, 401) = 292329

GCD(729, 401) = ( 729 x 401 ) / 292329

GCD(729, 401) = 292329 / 292329

GCD(729, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 729, 401, 613, 986 is 1

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1. What is the GCD of 729, 401, 613, 986?

GCD of 729, 401, 613, 986 is 1

2. Where do I get the detailed procedure to find GCD of 729, 401, 613, 986?

You can find a detailed procedure to find GCD of 729, 401, 613, 986 on our page.

3. How to find GCD of 729, 401, 613, 986 on a calculator?

You can find the GCD of 729, 401, 613, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.