GCD of 986, 304, 10 Calculator

Given Input numbers are 986, 304, 10

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 986, 304, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 304, 10 is 2.

Therefore, GCD of numbers 986, 304, 10 is 2

Given Input Data is 986, 304, 10

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 10 is 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(986, 304) = 149872

GCD(986, 304) = ( 986 x 304 ) / 149872

GCD(986, 304) = 299744 / 149872

GCD(986, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

GCD of 986, 304, 10 is 2

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1. What is the GCD of 986, 304, 10?

GCD of 986, 304, 10 is 2

2. Where do I get the detailed procedure to find GCD of 986, 304, 10?

You can find a detailed procedure to find GCD of 986, 304, 10 on our page.

3. How to find GCD of 986, 304, 10 on a calculator?

You can find the GCD of 986, 304, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.