GCD of 390, 486, 396, 538 Calculator

Given Input numbers are 390, 486, 396, 538

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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 538 :

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

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (390, 486, 396, 538) = 2.

Given numbers are 390, 486, 396, 538

The list of prime factors of all numbers are

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

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 390, 486, 396, 538 is 2.

Given numbers are 390, 486, 396, 538

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

Apply this formula for all numbers.

Step1:

LCM(390, 486) = 31590

GCD(390, 486) = ( 390 x 486 ) / 31590

= 390 / 486

= 390

Step2:

LCM(6, 396) = 396

GCD(6, 396) = ( 6 x 396 ) / 396

= 6 / 396

= 6

Step3:

LCM(6, 538) = 1614

GCD(6, 538) = ( 6 x 538 ) / 1614

= 6 / 538

= 6

So, Greatest Common Divisor of 390, 486, 396, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 909, 485, 125
• GCD of 999, 596, 390, 130
• GCD of 994, 398, 698, 399
• GCD of 119, 582, 608, 766
• GCD of 939, 802, 149, 547

Given numbers are 390, 486, 396, 538
The greatest common divisor of numbers 390, 486, 396, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 486, 396, 538 is 2.

1. What is the GCD of 390, 486, 396, 538?

GCD of given numbers 390, 486, 396, 538 is 2

2. How to calculate the greatest common divisor of 390, 486, 396, 538?

We can find the highest common divisor of 390, 486, 396, 538 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, 486, 396, 538 i.e 2.

3. How can I use the GCD of 390, 486, 396, 538Calculator?

Out the numbers 390, 486, 396, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.