GCD of 788, 173, 214, 133 Calculator

Given Input numbers are 788, 173, 214, 133

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 788, 173, 214, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 173, 214, 133 is 1.

Therefore, GCD of numbers 788, 173, 214, 133 is 1

Given Input Data is 788, 173, 214, 133

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 173 is 173

Prime Factorization of 214 is 2 x 107

Prime Factorization of 133 is 7 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(788, 173) = 136324

GCD(788, 173) = ( 788 x 173 ) / 136324

GCD(788, 173) = 136324 / 136324

GCD(788, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 788, 173, 214, 133 is 1

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1. What is the GCD of 788, 173, 214, 133?

GCD of 788, 173, 214, 133 is 1

2. Where do I get the detailed procedure to find GCD of 788, 173, 214, 133?

You can find a detailed procedure to find GCD of 788, 173, 214, 133 on our page.

3. How to find GCD of 788, 173, 214, 133 on a calculator?

You can find the GCD of 788, 173, 214, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.