GCD of 990, 385, 15, 100 Calculator

Given Input numbers are 990, 385, 15, 100

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 990, 385, 15, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 385, 15, 100 is 5.

Therefore, GCD of numbers 990, 385, 15, 100 is 5

Given Input Data is 990, 385, 15, 100

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 385 is 5 x 7 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 100 is 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 385) = 6930

GCD(990, 385) = ( 990 x 385 ) / 6930

GCD(990, 385) = 381150 / 6930

GCD(990, 385) = 55

Step2:

Here we consider the GCD from the above i.e. 55 as first number and the next as 15

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

LCM(55, 15) = 165

GCD(55, 15) = ( 55 x 15 ) / 165

GCD(55, 15) = 825 / 165

GCD(55, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 100

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

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

GCD(5, 100) = 500 / 100

GCD(5, 100) = 5

GCD of 990, 385, 15, 100 is 5

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1. What is the GCD of 990, 385, 15, 100?

GCD of 990, 385, 15, 100 is 5

2. Where do I get the detailed procedure to find GCD of 990, 385, 15, 100?

You can find a detailed procedure to find GCD of 990, 385, 15, 100 on our page.

3. How to find GCD of 990, 385, 15, 100 on a calculator?

You can find the GCD of 990, 385, 15, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.