GCD of 990, 145, 906, 547 Calculator

Given Input numbers are 990, 145, 906, 547

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 145

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

1, 5, 29, 145

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 990, 145, 906, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 145, 906, 547 is 1.

Therefore, GCD of numbers 990, 145, 906, 547 is 1

Given Input Data is 990, 145, 906, 547

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 145 is 5 x 29

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 547 is 547

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, 145) = 28710

GCD(990, 145) = ( 990 x 145 ) / 28710

GCD(990, 145) = 143550 / 28710

GCD(990, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 906

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

LCM(5, 906) = 4530

GCD(5, 906) = ( 5 x 906 ) / 4530

GCD(5, 906) = 4530 / 4530

GCD(5, 906) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 990, 145, 906, 547 is 1

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1. What is the GCD of 990, 145, 906, 547?

GCD of 990, 145, 906, 547 is 1

2. Where do I get the detailed procedure to find GCD of 990, 145, 906, 547?

You can find a detailed procedure to find GCD of 990, 145, 906, 547 on our page.

3. How to find GCD of 990, 145, 906, 547 on a calculator?

You can find the GCD of 990, 145, 906, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.