GCD of 990, 924, 45, 477 Calculator

Given Input numbers are 990, 924, 45, 477

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 990, 924, 45, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 924, 45, 477 is 3.

Therefore, GCD of numbers 990, 924, 45, 477 is 3

Given Input Data is 990, 924, 45, 477

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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 477 is 3 x 3 x 53

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(990, 924) = 13860

GCD(990, 924) = ( 990 x 924 ) / 13860

GCD(990, 924) = 914760 / 13860

GCD(990, 924) = 66

Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 45

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

LCM(66, 45) = 990

GCD(66, 45) = ( 66 x 45 ) / 990

GCD(66, 45) = 2970 / 990

GCD(66, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

GCD of 990, 924, 45, 477 is 3

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1. What is the GCD of 990, 924, 45, 477?

GCD of 990, 924, 45, 477 is 3

2. Where do I get the detailed procedure to find GCD of 990, 924, 45, 477?

You can find a detailed procedure to find GCD of 990, 924, 45, 477 on our page.

3. How to find GCD of 990, 924, 45, 477 on a calculator?

You can find the GCD of 990, 924, 45, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.