GCD of 389, 786, 30, 994 Calculator

Given Input numbers are 389, 786, 30, 994

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 389, 786, 30, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 786, 30, 994 is 1.

Therefore, GCD of numbers 389, 786, 30, 994 is 1

Given Input Data is 389, 786, 30, 994

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

Prime Factorization of 389 is 389

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 994 is 2 x 7 x 71

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(389, 786) = 305754

GCD(389, 786) = ( 389 x 786 ) / 305754

GCD(389, 786) = 305754 / 305754

GCD(389, 786) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 389, 786, 30, 994 is 1

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1. What is the GCD of 389, 786, 30, 994?

GCD of 389, 786, 30, 994 is 1

2. Where do I get the detailed procedure to find GCD of 389, 786, 30, 994?

You can find a detailed procedure to find GCD of 389, 786, 30, 994 on our page.

3. How to find GCD of 389, 786, 30, 994 on a calculator?

You can find the GCD of 389, 786, 30, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.