GCD of 990, 891, 305, 145 Calculator

Given Input numbers are 990, 891, 305, 145

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 990, 891, 305, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 891, 305, 145 is 1.

Therefore, GCD of numbers 990, 891, 305, 145 is 1

Given Input Data is 990, 891, 305, 145

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 305 is 5 x 61

Prime Factorization of 145 is 5 x 29

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, 891) = 8910

GCD(990, 891) = ( 990 x 891 ) / 8910

GCD(990, 891) = 882090 / 8910

GCD(990, 891) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 305

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

LCM(99, 305) = 30195

GCD(99, 305) = ( 99 x 305 ) / 30195

GCD(99, 305) = 30195 / 30195

GCD(99, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 990, 891, 305, 145 is 1

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1. What is the GCD of 990, 891, 305, 145?

GCD of 990, 891, 305, 145 is 1

2. Where do I get the detailed procedure to find GCD of 990, 891, 305, 145?

You can find a detailed procedure to find GCD of 990, 891, 305, 145 on our page.

3. How to find GCD of 990, 891, 305, 145 on a calculator?

You can find the GCD of 990, 891, 305, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.