GCD of 18, 440, 989, 288 Calculator

Given Input numbers are 18, 440, 989, 288

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 18, 440, 989, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 440, 989, 288 is 1.

Therefore, GCD of numbers 18, 440, 989, 288 is 1

Given Input Data is 18, 440, 989, 288

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 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 989 is 23 x 43

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(18, 440) = 3960

GCD(18, 440) = ( 18 x 440 ) / 3960

GCD(18, 440) = 7920 / 3960

GCD(18, 440) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 18, 440, 989, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 300, 272, 470
• GCD of 98, 628, 527, 427
• GCD of 98, 429, 124, 760
• GCD of 28, 320, 143, 793
• GCD of 57, 194, 743, 497

1. What is the GCD of 18, 440, 989, 288?

GCD of 18, 440, 989, 288 is 1

2. Where do I get the detailed procedure to find GCD of 18, 440, 989, 288?

You can find a detailed procedure to find GCD of 18, 440, 989, 288 on our page.

3. How to find GCD of 18, 440, 989, 288 on a calculator?

You can find the GCD of 18, 440, 989, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.