GCD of 729, 417, 746, 424 Calculator

Given Input numbers are 729, 417, 746, 424

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 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 729, 417, 746, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 417, 746, 424 is 1.

Therefore, GCD of numbers 729, 417, 746, 424 is 1

Given Input Data is 729, 417, 746, 424

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 417 is 3 x 139

Prime Factorization of 746 is 2 x 373

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 417) = 101331

GCD(729, 417) = ( 729 x 417 ) / 101331

GCD(729, 417) = 303993 / 101331

GCD(729, 417) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 746

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

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

GCD(3, 746) = 2238 / 2238

GCD(3, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 729, 417, 746, 424 is 1

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1. What is the GCD of 729, 417, 746, 424?

GCD of 729, 417, 746, 424 is 1

2. Where do I get the detailed procedure to find GCD of 729, 417, 746, 424?

You can find a detailed procedure to find GCD of 729, 417, 746, 424 on our page.

3. How to find GCD of 729, 417, 746, 424 on a calculator?

You can find the GCD of 729, 417, 746, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.