GCD of 728, 949, 475 Calculator

Given Input numbers are 728, 949, 475

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 728, 949, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 949, 475 is 1.

Therefore, GCD of numbers 728, 949, 475 is 1

Given Input Data is 728, 949, 475

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 949 is 13 x 73

Prime Factorization of 475 is 5 x 5 x 19

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, 949) = 53144

GCD(728, 949) = ( 728 x 949 ) / 53144

GCD(728, 949) = 690872 / 53144

GCD(728, 949) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 475

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

LCM(13, 475) = 6175

GCD(13, 475) = ( 13 x 475 ) / 6175

GCD(13, 475) = 6175 / 6175

GCD(13, 475) = 1

GCD of 728, 949, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 381, 108
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• GCD of 501, 956, 474
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1. What is the GCD of 728, 949, 475?

GCD of 728, 949, 475 is 1

2. Where do I get the detailed procedure to find GCD of 728, 949, 475?

You can find a detailed procedure to find GCD of 728, 949, 475 on our page.

3. How to find GCD of 728, 949, 475 on a calculator?

You can find the GCD of 728, 949, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.