GCD of 984, 386, 708, 729 Calculator

Given Input numbers are 984, 386, 708, 729

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 984, 386, 708, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 386, 708, 729 is 1.

Therefore, GCD of numbers 984, 386, 708, 729 is 1

Given Input Data is 984, 386, 708, 729

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 386 is 2 x 193

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(984, 386) = 189912

GCD(984, 386) = ( 984 x 386 ) / 189912

GCD(984, 386) = 379824 / 189912

GCD(984, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 984, 386, 708, 729 is 1

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1. What is the GCD of 984, 386, 708, 729?

GCD of 984, 386, 708, 729 is 1

2. Where do I get the detailed procedure to find GCD of 984, 386, 708, 729?

You can find a detailed procedure to find GCD of 984, 386, 708, 729 on our page.

3. How to find GCD of 984, 386, 708, 729 on a calculator?

You can find the GCD of 984, 386, 708, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.