GCD of 390, 506, 312, 990 Calculator

Given Input numbers are 390, 506, 312, 990

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 (390, 506, 312, 990) = 2.

Given numbers are 390, 506, 312, 990

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 506 are 2 x 11 x 23

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 390, 506, 312, 990 is 2.

Given numbers are 390, 506, 312, 990

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

Apply this formula for all numbers.

Step1:

LCM(390, 506) = 98670

GCD(390, 506) = ( 390 x 506 ) / 98670

= 390 / 506

= 390

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 390, 506, 312, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 299, 952, 902
• GCD of 386, 477, 748, 114
• GCD of 782, 727, 547, 415
• GCD of 803, 926, 709, 182
• GCD of 901, 664, 638, 263

Given numbers are 390, 506, 312, 990
The greatest common divisor of numbers 390, 506, 312, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 506, 312, 990 is 2.

1. What is the GCD of 390, 506, 312, 990?

GCD of given numbers 390, 506, 312, 990 is 2

2. How to calculate the greatest common divisor of 390, 506, 312, 990?

We can find the highest common divisor of 390, 506, 312, 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 390, 506, 312, 990 i.e 2.

3. How can I use the GCD of 390, 506, 312, 990Calculator?

Out the numbers 390, 506, 312, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.