GCD of 385, 470, 90, 729 Calculator

Given Input numbers are 385, 470, 90, 729

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 385, 470, 90, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 470, 90, 729 is 1.

Therefore, GCD of numbers 385, 470, 90, 729 is 1

Given Input Data is 385, 470, 90, 729

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(385, 470) = 36190

GCD(385, 470) = ( 385 x 470 ) / 36190

GCD(385, 470) = 180950 / 36190

GCD(385, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 729

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

LCM(5, 729) = 3645

GCD(5, 729) = ( 5 x 729 ) / 3645

GCD(5, 729) = 3645 / 3645

GCD(5, 729) = 1

GCD of 385, 470, 90, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 291, 65, 546
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• GCD of 835, 867, 27, 634

1. What is the GCD of 385, 470, 90, 729?

GCD of 385, 470, 90, 729 is 1

2. Where do I get the detailed procedure to find GCD of 385, 470, 90, 729?

You can find a detailed procedure to find GCD of 385, 470, 90, 729 on our page.

3. How to find GCD of 385, 470, 90, 729 on a calculator?

You can find the GCD of 385, 470, 90, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.