GCD of 306, 173, 99, 774 Calculator

Given Input numbers are 306, 173, 99, 774

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 173

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

1, 173

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 306, 173, 99, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 173, 99, 774 is 1.

Therefore, GCD of numbers 306, 173, 99, 774 is 1

Given Input Data is 306, 173, 99, 774

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 173 is 173

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(306, 173) = 52938

GCD(306, 173) = ( 306 x 173 ) / 52938

GCD(306, 173) = 52938 / 52938

GCD(306, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 306, 173, 99, 774 is 1

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• GCD of 832, 727, 41, 160
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1. What is the GCD of 306, 173, 99, 774?

GCD of 306, 173, 99, 774 is 1

2. Where do I get the detailed procedure to find GCD of 306, 173, 99, 774?

You can find a detailed procedure to find GCD of 306, 173, 99, 774 on our page.

3. How to find GCD of 306, 173, 99, 774 on a calculator?

You can find the GCD of 306, 173, 99, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.