GCD of 358, 448, 729 Calculator

Given Input numbers are 358, 448, 729

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 358, 448, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 448, 729 is 1.

Therefore, GCD of numbers 358, 448, 729 is 1

Given Input Data is 358, 448, 729

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(358, 448) = 80192

GCD(358, 448) = ( 358 x 448 ) / 80192

GCD(358, 448) = 160384 / 80192

GCD(358, 448) = 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 358, 448, 729 is 1

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1. What is the GCD of 358, 448, 729?

GCD of 358, 448, 729 is 1

2. Where do I get the detailed procedure to find GCD of 358, 448, 729?

You can find a detailed procedure to find GCD of 358, 448, 729 on our page.

3. How to find GCD of 358, 448, 729 on a calculator?

You can find the GCD of 358, 448, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.