GCD of 506, 594, 390, 312 Calculator

Given Input numbers are 506, 594, 390, 312

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

Divisors of 506 :

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

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 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

GCD of numbers is the greatest common divisor

So, the GCD (506, 594, 390, 312) = 2.

Given numbers are 506, 594, 390, 312

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

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

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

The highest common occurrence is 2¹

Therefore, GCD of 506, 594, 390, 312 is 2.

Given numbers are 506, 594, 390, 312

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

Apply this formula for all numbers.

Step1:

LCM(506, 594) = 13662

GCD(506, 594) = ( 506 x 594 ) / 13662

= 506 / 594

= 506

Step2:

LCM(22, 390) = 4290

GCD(22, 390) = ( 22 x 390 ) / 4290

= 22 / 390

= 22

Step3:

LCM(2, 312) = 312

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

= 2 / 312

= 2

So, Greatest Common Divisor of 506, 594, 390, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 802, 536, 238
• GCD of 248, 865, 956, 333
• GCD of 841, 259, 872, 484
• GCD of 614, 169, 387, 451
• GCD of 704, 207, 560, 753

Given numbers are 506, 594, 390, 312
The greatest common divisor of numbers 506, 594, 390, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 594, 390, 312 is 2.

1. What is the GCD of 506, 594, 390, 312?

GCD of given numbers 506, 594, 390, 312 is 2

2. How to calculate the greatest common divisor of 506, 594, 390, 312?

We can find the highest common divisor of 506, 594, 390, 312 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 506, 594, 390, 312 i.e 2.

3. How can I use the GCD of 506, 594, 390, 312Calculator?

Out the numbers 506, 594, 390, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.