GCD of 630, 351, 648, 990 Calculator

Given Input numbers are 630, 351, 648, 990

In the factoring method, we have to find the divisors of all numbers

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

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 :

The positive integer divisors of 351 that completely divides 351 are.

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (630, 351, 648, 990) = 9.

Given numbers are 630, 351, 648, 990

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 3²

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

Given numbers are 630, 351, 648, 990

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(630, 351) = 24570

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

= 630 / 351

= 630

Step2:

LCM(9, 648) = 648

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

= 9 / 648

= 9

Step3:

LCM(9, 990) = 990

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

= 9 / 990

= 9

So, Greatest Common Divisor of 630, 351, 648, 990 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 863, 114, 800
• GCD of 297, 588, 329, 529
• GCD of 774, 737, 303, 477
• GCD of 723, 464, 519, 614
• GCD of 116, 596, 741, 407

Given numbers are 630, 351, 648, 990
The greatest common divisor of numbers 630, 351, 648, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 351, 648, 990 is 9.

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

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

2. How to calculate the greatest common divisor of 630, 351, 648, 990?

We can find the highest common divisor of 630, 351, 648, 990 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 630, 351, 648, 990 i.e 9.

3. How can I use the GCD of 630, 351, 648, 990Calculator?

Out the numbers 630, 351, 648, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.