GCD of 909, 990, 146, 219 Calculator

Given Input numbers are 909, 990, 146, 219

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 909, 990, 146, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 990, 146, 219 is 1.

Therefore, GCD of numbers 909, 990, 146, 219 is 1

Given Input Data is 909, 990, 146, 219

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 146 is 2 x 73

Prime Factorization of 219 is 3 x 73

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 146

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

LCM(9, 146) = 1314

GCD(9, 146) = ( 9 x 146 ) / 1314

GCD(9, 146) = 1314 / 1314

GCD(9, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 909, 990, 146, 219 is 1

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1. What is the GCD of 909, 990, 146, 219?

GCD of 909, 990, 146, 219 is 1

2. Where do I get the detailed procedure to find GCD of 909, 990, 146, 219?

You can find a detailed procedure to find GCD of 909, 990, 146, 219 on our page.

3. How to find GCD of 909, 990, 146, 219 on a calculator?

You can find the GCD of 909, 990, 146, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.