GCD of 984, 613, 105, 306 Calculator

Given Input numbers are 984, 613, 105, 306

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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

Greatest Common Divisior

We found the divisors of 984, 613, 105, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 613, 105, 306 is 1.

Therefore, GCD of numbers 984, 613, 105, 306 is 1

Given Input Data is 984, 613, 105, 306

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 613 is 613

Prime Factorization of 105 is 3 x 5 x 7

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

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(984, 613) = 603192

GCD(984, 613) = ( 984 x 613 ) / 603192

GCD(984, 613) = 603192 / 603192

GCD(984, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 984, 613, 105, 306 is 1

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1. What is the GCD of 984, 613, 105, 306?

GCD of 984, 613, 105, 306 is 1

2. Where do I get the detailed procedure to find GCD of 984, 613, 105, 306?

You can find a detailed procedure to find GCD of 984, 613, 105, 306 on our page.

3. How to find GCD of 984, 613, 105, 306 on a calculator?

You can find the GCD of 984, 613, 105, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.