GCD of 724, 470, 729 Calculator

Given Input numbers are 724, 470, 729

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 724, 470, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 470, 729 is 1.

Therefore, GCD of numbers 724, 470, 729 is 1

Given Input Data is 724, 470, 729

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 470 is 2 x 5 x 47

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(724, 470) = 170140

GCD(724, 470) = ( 724 x 470 ) / 170140

GCD(724, 470) = 340280 / 170140

GCD(724, 470) = 2

Step2:

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 724, 470, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 950, 842
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• GCD of 904, 347, 155
• GCD of 120, 746, 122
• GCD of 303, 547, 239

1. What is the GCD of 724, 470, 729?

GCD of 724, 470, 729 is 1

2. Where do I get the detailed procedure to find GCD of 724, 470, 729?

You can find a detailed procedure to find GCD of 724, 470, 729 on our page.

3. How to find GCD of 724, 470, 729 on a calculator?

You can find the GCD of 724, 470, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.