GCD of 480, 446, 85, 729 Calculator

Given Input numbers are 480, 446, 85, 729

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 480, 446, 85, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 446, 85, 729 is 1.

Therefore, GCD of numbers 480, 446, 85, 729 is 1

Given Input Data is 480, 446, 85, 729

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 446 is 2 x 223

Prime Factorization of 85 is 5 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(480, 446) = 107040

GCD(480, 446) = ( 480 x 446 ) / 107040

GCD(480, 446) = 214080 / 107040

GCD(480, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 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 480, 446, 85, 729 is 1

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• GCD of 853, 392, 24, 930
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1. What is the GCD of 480, 446, 85, 729?

GCD of 480, 446, 85, 729 is 1

2. Where do I get the detailed procedure to find GCD of 480, 446, 85, 729?

You can find a detailed procedure to find GCD of 480, 446, 85, 729 on our page.

3. How to find GCD of 480, 446, 85, 729 on a calculator?

You can find the GCD of 480, 446, 85, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.