GCD of 240, 990, 405, 854 Calculator

Given Input numbers are 240, 990, 405, 854

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 240, 990, 405, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 990, 405, 854 is 1.

Therefore, GCD of numbers 240, 990, 405, 854 is 1

Given Input Data is 240, 990, 405, 854

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Prime Factorization of 854 is 2 x 7 x 61

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(240, 990) = 7920

GCD(240, 990) = ( 240 x 990 ) / 7920

GCD(240, 990) = 237600 / 7920

GCD(240, 990) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 405

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

LCM(30, 405) = 810

GCD(30, 405) = ( 30 x 405 ) / 810

GCD(30, 405) = 12150 / 810

GCD(30, 405) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 854

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

LCM(15, 854) = 12810

GCD(15, 854) = ( 15 x 854 ) / 12810

GCD(15, 854) = 12810 / 12810

GCD(15, 854) = 1

GCD of 240, 990, 405, 854 is 1

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• GCD of 847, 764, 392, 851
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1. What is the GCD of 240, 990, 405, 854?

GCD of 240, 990, 405, 854 is 1

2. Where do I get the detailed procedure to find GCD of 240, 990, 405, 854?

You can find a detailed procedure to find GCD of 240, 990, 405, 854 on our page.

3. How to find GCD of 240, 990, 405, 854 on a calculator?

You can find the GCD of 240, 990, 405, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.