GCD of 13, 975, 448, 728 Calculator

Given Input numbers are 13, 975, 448, 728

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 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

Greatest Common Divisior

We found the divisors of 13, 975, 448, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 975, 448, 728 is 1.

Therefore, GCD of numbers 13, 975, 448, 728 is 1

Given Input Data is 13, 975, 448, 728

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

Prime Factorization of 13 is 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

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

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(13, 975) = 975

GCD(13, 975) = ( 13 x 975 ) / 975

GCD(13, 975) = 12675 / 975

GCD(13, 975) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 448

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

LCM(13, 448) = 5824

GCD(13, 448) = ( 13 x 448 ) / 5824

GCD(13, 448) = 5824 / 5824

GCD(13, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 13, 975, 448, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 521, 595, 317
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• GCD of 23, 101, 620, 414

1. What is the GCD of 13, 975, 448, 728?

GCD of 13, 975, 448, 728 is 1

2. Where do I get the detailed procedure to find GCD of 13, 975, 448, 728?

You can find a detailed procedure to find GCD of 13, 975, 448, 728 on our page.

3. How to find GCD of 13, 975, 448, 728 on a calculator?

You can find the GCD of 13, 975, 448, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.