GCD of 973, 728, 208 Calculator

Given Input numbers are 973, 728, 208

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 973, 728, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 728, 208 is 1.

Therefore, GCD of numbers 973, 728, 208 is 1

Given Input Data is 973, 728, 208

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

Prime Factorization of 973 is 7 x 139

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 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(973, 728) = 101192

GCD(973, 728) = ( 973 x 728 ) / 101192

GCD(973, 728) = 708344 / 101192

GCD(973, 728) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 208

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

LCM(7, 208) = 1456

GCD(7, 208) = ( 7 x 208 ) / 1456

GCD(7, 208) = 1456 / 1456

GCD(7, 208) = 1

GCD of 973, 728, 208 is 1

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1. What is the GCD of 973, 728, 208?

GCD of 973, 728, 208 is 1

2. Where do I get the detailed procedure to find GCD of 973, 728, 208?

You can find a detailed procedure to find GCD of 973, 728, 208 on our page.

3. How to find GCD of 973, 728, 208 on a calculator?

You can find the GCD of 973, 728, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.