GCD of 990, 101, 11, 728 Calculator

Given Input numbers are 990, 101, 11, 728

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 990, 101, 11, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 101, 11, 728 is 1.

Therefore, GCD of numbers 990, 101, 11, 728 is 1

Given Input Data is 990, 101, 11, 728

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 101 is 101

Prime Factorization of 11 is 11

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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, 101) = 99990

GCD(990, 101) = ( 990 x 101 ) / 99990

GCD(990, 101) = 99990 / 99990

GCD(990, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 990, 101, 11, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 930, 17, 800
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• GCD of 135, 261, 80, 779
• GCD of 410, 811, 80, 993
• GCD of 138, 712, 91, 263

1. What is the GCD of 990, 101, 11, 728?

GCD of 990, 101, 11, 728 is 1

2. Where do I get the detailed procedure to find GCD of 990, 101, 11, 728?

You can find a detailed procedure to find GCD of 990, 101, 11, 728 on our page.

3. How to find GCD of 990, 101, 11, 728 on a calculator?

You can find the GCD of 990, 101, 11, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.