GCD of 299, 756, 930, 163 Calculator

Given Input numbers are 299, 756, 930, 163

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 299, 756, 930, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 756, 930, 163 is 1.

Therefore, GCD of numbers 299, 756, 930, 163 is 1

Given Input Data is 299, 756, 930, 163

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 163 is 163

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(299, 756) = 226044

GCD(299, 756) = ( 299 x 756 ) / 226044

GCD(299, 756) = 226044 / 226044

GCD(299, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 930

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

LCM(1, 930) = 930

GCD(1, 930) = ( 1 x 930 ) / 930

GCD(1, 930) = 930 / 930

GCD(1, 930) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 163

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

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

GCD(1, 163) = 163 / 163

GCD(1, 163) = 1

GCD of 299, 756, 930, 163 is 1

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1. What is the GCD of 299, 756, 930, 163?

GCD of 299, 756, 930, 163 is 1

2. Where do I get the detailed procedure to find GCD of 299, 756, 930, 163?

You can find a detailed procedure to find GCD of 299, 756, 930, 163 on our page.

3. How to find GCD of 299, 756, 930, 163 on a calculator?

You can find the GCD of 299, 756, 930, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.