GCD of 45, 249, 342, 990 Calculator

Given Input numbers are 45, 249, 342, 990

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Greatest Common Divisior

We found the divisors of 45, 249, 342, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 249, 342, 990 is 3.

Therefore, GCD of numbers 45, 249, 342, 990 is 3

Given Input Data is 45, 249, 342, 990

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 249 is 3 x 83

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(45, 249) = 3735

GCD(45, 249) = ( 45 x 249 ) / 3735

GCD(45, 249) = 11205 / 3735

GCD(45, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

GCD of 45, 249, 342, 990 is 3

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1. What is the GCD of 45, 249, 342, 990?

GCD of 45, 249, 342, 990 is 3

2. Where do I get the detailed procedure to find GCD of 45, 249, 342, 990?

You can find a detailed procedure to find GCD of 45, 249, 342, 990 on our page.

3. How to find GCD of 45, 249, 342, 990 on a calculator?

You can find the GCD of 45, 249, 342, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.