GCD of 390, 414, 264, 638 Calculator

Given Input numbers are 390, 414, 264, 638

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (390, 414, 264, 638) = 2.

Given numbers are 390, 414, 264, 638

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 390, 414, 264, 638 is 2.

Given numbers are 390, 414, 264, 638

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

Apply this formula for all numbers.

Step1:

LCM(390, 414) = 26910

GCD(390, 414) = ( 390 x 414 ) / 26910

= 390 / 414

= 390

Step2:

LCM(6, 264) = 264

GCD(6, 264) = ( 6 x 264 ) / 264

= 6 / 264

= 6

Step3:

LCM(6, 638) = 1914

GCD(6, 638) = ( 6 x 638 ) / 1914

= 6 / 638

= 6

So, Greatest Common Divisor of 390, 414, 264, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 571, 926, 867
• GCD of 992, 552, 592, 197
• GCD of 269, 172, 265, 687
• GCD of 740, 671, 483, 651
• GCD of 327, 617, 307, 756

Given numbers are 390, 414, 264, 638
The greatest common divisor of numbers 390, 414, 264, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 414, 264, 638 is 2.

1. What is the GCD of 390, 414, 264, 638?

GCD of given numbers 390, 414, 264, 638 is 2

2. How to calculate the greatest common divisor of 390, 414, 264, 638?

We can find the highest common divisor of 390, 414, 264, 638 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, 414, 264, 638 i.e 2.

3. How can I use the GCD of 390, 414, 264, 638Calculator?

Out the numbers 390, 414, 264, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.