GCD of 730, 106, 51, 729 Calculator

Given Input numbers are 730, 106, 51, 729

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 730, 106, 51, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 106, 51, 729 is 1.

Therefore, GCD of numbers 730, 106, 51, 729 is 1

Given Input Data is 730, 106, 51, 729

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 106 is 2 x 53

Prime Factorization of 51 is 3 x 17

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(730, 106) = 38690

GCD(730, 106) = ( 730 x 106 ) / 38690

GCD(730, 106) = 77380 / 38690

GCD(730, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 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 730, 106, 51, 729 is 1

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1. What is the GCD of 730, 106, 51, 729?

GCD of 730, 106, 51, 729 is 1

2. Where do I get the detailed procedure to find GCD of 730, 106, 51, 729?

You can find a detailed procedure to find GCD of 730, 106, 51, 729 on our page.

3. How to find GCD of 730, 106, 51, 729 on a calculator?

You can find the GCD of 730, 106, 51, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.