GCD of 728, 965, 538, 480 Calculator

Given Input numbers are 728, 965, 538, 480

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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

Greatest Common Divisior

We found the divisors of 728, 965, 538, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 965, 538, 480 is 1.

Therefore, GCD of numbers 728, 965, 538, 480 is 1

Given Input Data is 728, 965, 538, 480

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 965 is 5 x 193

Prime Factorization of 538 is 2 x 269

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

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, 965) = 702520

GCD(728, 965) = ( 728 x 965 ) / 702520

GCD(728, 965) = 702520 / 702520

GCD(728, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 728, 965, 538, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 189, 474, 404
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• GCD of 645, 238, 663, 765

1. What is the GCD of 728, 965, 538, 480?

GCD of 728, 965, 538, 480 is 1

2. Where do I get the detailed procedure to find GCD of 728, 965, 538, 480?

You can find a detailed procedure to find GCD of 728, 965, 538, 480 on our page.

3. How to find GCD of 728, 965, 538, 480 on a calculator?

You can find the GCD of 728, 965, 538, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.