GCD of 728, 446, 88, 909 Calculator

Given Input numbers are 728, 446, 88, 909

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 446

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

1, 2, 223, 446

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 728, 446, 88, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 446, 88, 909 is 1.

Therefore, GCD of numbers 728, 446, 88, 909 is 1

Given Input Data is 728, 446, 88, 909

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 446 is 2 x 223

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 909 is 3 x 3 x 101

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(728, 446) = 162344

GCD(728, 446) = ( 728 x 446 ) / 162344

GCD(728, 446) = 324688 / 162344

GCD(728, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

GCD of 728, 446, 88, 909 is 1

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1. What is the GCD of 728, 446, 88, 909?

GCD of 728, 446, 88, 909 is 1

2. Where do I get the detailed procedure to find GCD of 728, 446, 88, 909?

You can find a detailed procedure to find GCD of 728, 446, 88, 909 on our page.

3. How to find GCD of 728, 446, 88, 909 on a calculator?

You can find the GCD of 728, 446, 88, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.