GCD of 24, 405, 518, 987 Calculator

Given Input numbers are 24, 405, 518, 987

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 24, 405, 518, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 405, 518, 987 is 1.

Therefore, GCD of numbers 24, 405, 518, 987 is 1

Given Input Data is 24, 405, 518, 987

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 987 is 3 x 7 x 47

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(24, 405) = 3240

GCD(24, 405) = ( 24 x 405 ) / 3240

GCD(24, 405) = 9720 / 3240

GCD(24, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 518

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

LCM(3, 518) = 1554

GCD(3, 518) = ( 3 x 518 ) / 1554

GCD(3, 518) = 1554 / 1554

GCD(3, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 24, 405, 518, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 141, 247, 344
• GCD of 46, 327, 641, 714
• GCD of 60, 348, 563, 276
• GCD of 52, 438, 469, 679
• GCD of 12, 981, 956, 161

1. What is the GCD of 24, 405, 518, 987?

GCD of 24, 405, 518, 987 is 1

2. Where do I get the detailed procedure to find GCD of 24, 405, 518, 987?

You can find a detailed procedure to find GCD of 24, 405, 518, 987 on our page.

3. How to find GCD of 24, 405, 518, 987 on a calculator?

You can find the GCD of 24, 405, 518, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.