GCD of 990, 915, 16, 604 Calculator

Given Input numbers are 990, 915, 16, 604

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

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 990, 915, 16, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 915, 16, 604 is 1.

Therefore, GCD of numbers 990, 915, 16, 604 is 1

Given Input Data is 990, 915, 16, 604

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

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 604 is 2 x 2 x 151

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(990, 915) = 60390

GCD(990, 915) = ( 990 x 915 ) / 60390

GCD(990, 915) = 905850 / 60390

GCD(990, 915) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 16

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

LCM(15, 16) = 240

GCD(15, 16) = ( 15 x 16 ) / 240

GCD(15, 16) = 240 / 240

GCD(15, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 990, 915, 16, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 196, 94, 428
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• GCD of 100, 996, 82, 304

1. What is the GCD of 990, 915, 16, 604?

GCD of 990, 915, 16, 604 is 1

2. Where do I get the detailed procedure to find GCD of 990, 915, 16, 604?

You can find a detailed procedure to find GCD of 990, 915, 16, 604 on our page.

3. How to find GCD of 990, 915, 16, 604 on a calculator?

You can find the GCD of 990, 915, 16, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.