GCD of 990, 109, 54, 821 Calculator

Given Input numbers are 990, 109, 54, 821

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 990, 109, 54, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 109, 54, 821 is 1.

Therefore, GCD of numbers 990, 109, 54, 821 is 1

Given Input Data is 990, 109, 54, 821

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 109 is 109

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 821 is 821

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, 109) = 107910

GCD(990, 109) = ( 990 x 109 ) / 107910

GCD(990, 109) = 107910 / 107910

GCD(990, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 990, 109, 54, 821 is 1

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1. What is the GCD of 990, 109, 54, 821?

GCD of 990, 109, 54, 821 is 1

2. Where do I get the detailed procedure to find GCD of 990, 109, 54, 821?

You can find a detailed procedure to find GCD of 990, 109, 54, 821 on our page.

3. How to find GCD of 990, 109, 54, 821 on a calculator?

You can find the GCD of 990, 109, 54, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.