GCD of 459, 986, 918 Calculator

Given Input numbers are 459, 986, 918

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 459, 986, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 986, 918 is 17.

Therefore, GCD of numbers 459, 986, 918 is 17

Given Input Data is 459, 986, 918

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 17¹

Multiplying them we get the GCD as 17

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(459, 986) = 26622

GCD(459, 986) = ( 459 x 986 ) / 26622

GCD(459, 986) = 452574 / 26622

GCD(459, 986) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 918

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

LCM(17, 918) = 918

GCD(17, 918) = ( 17 x 918 ) / 918

GCD(17, 918) = 15606 / 918

GCD(17, 918) = 17

GCD of 459, 986, 918 is 17

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1. What is the GCD of 459, 986, 918?

GCD of 459, 986, 918 is 17

2. Where do I get the detailed procedure to find GCD of 459, 986, 918?

You can find a detailed procedure to find GCD of 459, 986, 918 on our page.

3. How to find GCD of 459, 986, 918 on a calculator?

You can find the GCD of 459, 986, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.