GCD of 255, 115, 616, 990 Calculator

Given Input numbers are 255, 115, 616, 990

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

Greatest Common Divisior

We found the divisors of 255, 115, 616, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 115, 616, 990 is 1.

Therefore, GCD of numbers 255, 115, 616, 990 is 1

Given Input Data is 255, 115, 616, 990

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 115 is 5 x 23

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

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(255, 115) = 5865

GCD(255, 115) = ( 255 x 115 ) / 5865

GCD(255, 115) = 29325 / 5865

GCD(255, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 616

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

LCM(5, 616) = 3080

GCD(5, 616) = ( 5 x 616 ) / 3080

GCD(5, 616) = 3080 / 3080

GCD(5, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 255, 115, 616, 990 is 1

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1. What is the GCD of 255, 115, 616, 990?

GCD of 255, 115, 616, 990 is 1

2. Where do I get the detailed procedure to find GCD of 255, 115, 616, 990?

You can find a detailed procedure to find GCD of 255, 115, 616, 990 on our page.

3. How to find GCD of 255, 115, 616, 990 on a calculator?

You can find the GCD of 255, 115, 616, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.