GCD of 729, 494, 92, 116 Calculator

Given Input numbers are 729, 494, 92, 116

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 729, 494, 92, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 494, 92, 116 is 1.

Therefore, GCD of numbers 729, 494, 92, 116 is 1

Given Input Data is 729, 494, 92, 116

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 494 is 2 x 13 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 116 is 2 x 2 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, 494) = 360126

GCD(729, 494) = ( 729 x 494 ) / 360126

GCD(729, 494) = 360126 / 360126

GCD(729, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 729, 494, 92, 116 is 1

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• GCD of 519, 460, 97, 706
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• GCD of 559, 936, 58, 712
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• GCD of 326, 321, 83, 635

1. What is the GCD of 729, 494, 92, 116?

GCD of 729, 494, 92, 116 is 1

2. Where do I get the detailed procedure to find GCD of 729, 494, 92, 116?

You can find a detailed procedure to find GCD of 729, 494, 92, 116 on our page.

3. How to find GCD of 729, 494, 92, 116 on a calculator?

You can find the GCD of 729, 494, 92, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.