GCD of 990, 538, 324, 384 Calculator

Given Input numbers are 990, 538, 324, 384

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

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (990, 538, 324, 384) = 2.

Given numbers are 990, 538, 324, 384

The list of prime factors of all numbers are

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

Prime factors of 538 are 2 x 269

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 990, 538, 324, 384 is 2.

Given numbers are 990, 538, 324, 384

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

Apply this formula for all numbers.

Step1:

LCM(990, 538) = 266310

GCD(990, 538) = ( 990 x 538 ) / 266310

= 990 / 538

= 990

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 990, 538, 324, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 881, 360, 575
• GCD of 905, 832, 948, 702
• GCD of 526, 341, 788, 149
• GCD of 989, 272, 907, 295
• GCD of 676, 748, 207, 383

Given numbers are 990, 538, 324, 384
The greatest common divisor of numbers 990, 538, 324, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 538, 324, 384 is 2.

1. What is the GCD of 990, 538, 324, 384?

GCD of given numbers 990, 538, 324, 384 is 2

2. How to calculate the greatest common divisor of 990, 538, 324, 384?

We can find the highest common divisor of 990, 538, 324, 384 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 990, 538, 324, 384 i.e 2.

3. How can I use the GCD of 990, 538, 324, 384Calculator?

Out the numbers 990, 538, 324, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.