GCD of 909, 990, 16, 980 Calculator

Given Input numbers are 909, 990, 16, 980

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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 16

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

1, 2, 4, 8, 16

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 909, 990, 16, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 990, 16, 980 is 1.

Therefore, GCD of numbers 909, 990, 16, 980 is 1

Given Input Data is 909, 990, 16, 980

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

Prime Factorization of 909 is 3 x 3 x 101

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

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(909, 990) = 99990

GCD(909, 990) = ( 909 x 990 ) / 99990

GCD(909, 990) = 899910 / 99990

GCD(909, 990) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 16

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

LCM(9, 16) = 144

GCD(9, 16) = ( 9 x 16 ) / 144

GCD(9, 16) = 144 / 144

GCD(9, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 909, 990, 16, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 578, 20, 101
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• GCD of 192, 124, 34, 908

1. What is the GCD of 909, 990, 16, 980?

GCD of 909, 990, 16, 980 is 1

2. Where do I get the detailed procedure to find GCD of 909, 990, 16, 980?

You can find a detailed procedure to find GCD of 909, 990, 16, 980 on our page.

3. How to find GCD of 909, 990, 16, 980 on a calculator?

You can find the GCD of 909, 990, 16, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.