GCD of 630, 351, 648, 990 Calculator

Given Input numbers are 630, 351, 648, 990

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 630, 351, 648, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 351, 648, 990 is 9.

Therefore, GCD of numbers 630, 351, 648, 990 is 9

Given Input Data is 630, 351, 648, 990

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(630, 351) = 24570

GCD(630, 351) = ( 630 x 351 ) / 24570

GCD(630, 351) = 221130 / 24570

GCD(630, 351) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 648

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

LCM(9, 648) = 648

GCD(9, 648) = ( 9 x 648 ) / 648

GCD(9, 648) = 5832 / 648

GCD(9, 648) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 990

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

LCM(9, 990) = 990

GCD(9, 990) = ( 9 x 990 ) / 990

GCD(9, 990) = 8910 / 990

GCD(9, 990) = 9

GCD of 630, 351, 648, 990 is 9

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1. What is the GCD of 630, 351, 648, 990?

GCD of 630, 351, 648, 990 is 9

2. Where do I get the detailed procedure to find GCD of 630, 351, 648, 990?

You can find a detailed procedure to find GCD of 630, 351, 648, 990 on our page.

3. How to find GCD of 630, 351, 648, 990 on a calculator?

You can find the GCD of 630, 351, 648, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.