GCD of 18, 488, 916, 344 Calculator

Given Input numbers are 18, 488, 916, 344

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 18, 488, 916, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 488, 916, 344 is 2.

Therefore, GCD of numbers 18, 488, 916, 344 is 2

Given Input Data is 18, 488, 916, 344

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(18, 488) = 4392

GCD(18, 488) = ( 18 x 488 ) / 4392

GCD(18, 488) = 8784 / 4392

GCD(18, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 18, 488, 916, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 829, 370, 834
• GCD of 81, 545, 923, 767
• GCD of 80, 625, 419, 717
• GCD of 58, 989, 987, 257
• GCD of 80, 236, 969, 383

1. What is the GCD of 18, 488, 916, 344?

GCD of 18, 488, 916, 344 is 2

2. Where do I get the detailed procedure to find GCD of 18, 488, 916, 344?

You can find a detailed procedure to find GCD of 18, 488, 916, 344 on our page.

3. How to find GCD of 18, 488, 916, 344 on a calculator?

You can find the GCD of 18, 488, 916, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.