GCD of 728, 193, 49 Calculator

Given Input numbers are 728, 193, 49

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 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 728, 193, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 193, 49 is 1.

Therefore, GCD of numbers 728, 193, 49 is 1

Given Input Data is 728, 193, 49

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 193 is 193

Prime Factorization of 49 is 7 x 7

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, 193) = 140504

GCD(728, 193) = ( 728 x 193 ) / 140504

GCD(728, 193) = 140504 / 140504

GCD(728, 193) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 728, 193, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 460, 74
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• GCD of 287, 625, 49
• GCD of 649, 632, 81

1. What is the GCD of 728, 193, 49?

GCD of 728, 193, 49 is 1

2. Where do I get the detailed procedure to find GCD of 728, 193, 49?

You can find a detailed procedure to find GCD of 728, 193, 49 on our page.

3. How to find GCD of 728, 193, 49 on a calculator?

You can find the GCD of 728, 193, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.