GCD of 321, 144, 918 Calculator

Given Input numbers are 321, 144, 918

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 321, 144, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 144, 918 is 3.

Therefore, GCD of numbers 321, 144, 918 is 3

Given Input Data is 321, 144, 918

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(321, 144) = 15408

GCD(321, 144) = ( 321 x 144 ) / 15408

GCD(321, 144) = 46224 / 15408

GCD(321, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 918

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

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

GCD(3, 918) = 2754 / 918

GCD(3, 918) = 3

GCD of 321, 144, 918 is 3

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1. What is the GCD of 321, 144, 918?

GCD of 321, 144, 918 is 3

2. Where do I get the detailed procedure to find GCD of 321, 144, 918?

You can find a detailed procedure to find GCD of 321, 144, 918 on our page.

3. How to find GCD of 321, 144, 918 on a calculator?

You can find the GCD of 321, 144, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.