GCD of 396, 438, 279, 314 Calculator

Given Input numbers are 396, 438, 279, 314

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

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (396, 438, 279, 314) = 1.

Given numbers are 396, 438, 279, 314

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

Prime factors of 279 are 3 x 3 x 31

Prime factors of 314 are 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 396, 438, 279, 314

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

Apply this formula for all numbers.

Step1:

LCM(396, 438) = 28908

GCD(396, 438) = ( 396 x 438 ) / 28908

= 396 / 438

= 396

Step2:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

Step3:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3

So, Greatest Common Divisor of 396, 438, 279, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 520, 407, 570
• GCD of 300, 637, 432, 765
• GCD of 735, 747, 539, 151
• GCD of 724, 691, 875, 265
• GCD of 621, 702, 584, 961

Given numbers are 396, 438, 279, 314
The greatest common divisor of numbers 396, 438, 279, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 438, 279, 314 is 1.

1. What is the GCD of 396, 438, 279, 314?

GCD of given numbers 396, 438, 279, 314 is 1

2. How to calculate the greatest common divisor of 396, 438, 279, 314?

We can find the highest common divisor of 396, 438, 279, 314 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 396, 438, 279, 314 i.e 1.

3. How can I use the GCD of 396, 438, 279, 314Calculator?

Out the numbers 396, 438, 279, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.