GCD of 990, 438, 448, 634 Calculator

Given Input numbers are 990, 438, 448, 634

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 990, 438, 448, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 438, 448, 634 is 2.

Therefore, GCD of numbers 990, 438, 448, 634 is 2

Given Input Data is 990, 438, 448, 634

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 438 is 2 x 3 x 73

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 634 is 2 x 317

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 438) = 72270

GCD(990, 438) = ( 990 x 438 ) / 72270

GCD(990, 438) = 433620 / 72270

GCD(990, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 448

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

LCM(6, 448) = 1344

GCD(6, 448) = ( 6 x 448 ) / 1344

GCD(6, 448) = 2688 / 1344

GCD(6, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 990, 438, 448, 634 is 2

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1. What is the GCD of 990, 438, 448, 634?

GCD of 990, 438, 448, 634 is 2

2. Where do I get the detailed procedure to find GCD of 990, 438, 448, 634?

You can find a detailed procedure to find GCD of 990, 438, 448, 634 on our page.

3. How to find GCD of 990, 438, 448, 634 on a calculator?

You can find the GCD of 990, 438, 448, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.