GCD of 18, 459, 996, 507 Calculator

Given Input numbers are 18, 459, 996, 507

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 459

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

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 18, 459, 996, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 459, 996, 507 is 3.

Therefore, GCD of numbers 18, 459, 996, 507 is 3

Given Input Data is 18, 459, 996, 507

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 507 is 3 x 13 x 13

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(18, 459) = 918

GCD(18, 459) = ( 18 x 459 ) / 918

GCD(18, 459) = 8262 / 918

GCD(18, 459) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 996

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

LCM(9, 996) = 2988

GCD(9, 996) = ( 9 x 996 ) / 2988

GCD(9, 996) = 8964 / 2988

GCD(9, 996) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

GCD of 18, 459, 996, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 954, 873, 220
• GCD of 91, 305, 379, 554
• GCD of 19, 471, 639, 316
• GCD of 14, 793, 243, 984
• GCD of 58, 838, 510, 223

1. What is the GCD of 18, 459, 996, 507?

GCD of 18, 459, 996, 507 is 3

2. Where do I get the detailed procedure to find GCD of 18, 459, 996, 507?

You can find a detailed procedure to find GCD of 18, 459, 996, 507 on our page.

3. How to find GCD of 18, 459, 996, 507 on a calculator?

You can find the GCD of 18, 459, 996, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.