GCD of 713, 191, 189, 928 Calculator

Given Input numbers are 713, 191, 189, 928

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 713, 191, 189, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 191, 189, 928 is 1.

Therefore, GCD of numbers 713, 191, 189, 928 is 1

Given Input Data is 713, 191, 189, 928

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 191 is 191

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(713, 191) = 136183

GCD(713, 191) = ( 713 x 191 ) / 136183

GCD(713, 191) = 136183 / 136183

GCD(713, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 713, 191, 189, 928 is 1

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1. What is the GCD of 713, 191, 189, 928?

GCD of 713, 191, 189, 928 is 1

2. Where do I get the detailed procedure to find GCD of 713, 191, 189, 928?

You can find a detailed procedure to find GCD of 713, 191, 189, 928 on our page.

3. How to find GCD of 713, 191, 189, 928 on a calculator?

You can find the GCD of 713, 191, 189, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.