GCD of 314, 368, 390, 322 Calculator

Given Input numbers are 314, 368, 390, 322

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (314, 368, 390, 322) = 2.

Given numbers are 314, 368, 390, 322

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 314, 368, 390, 322 is 2.

Given numbers are 314, 368, 390, 322

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

Apply this formula for all numbers.

Step1:

LCM(314, 368) = 57776

GCD(314, 368) = ( 314 x 368 ) / 57776

= 314 / 368

= 314

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 314, 368, 390, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 261, 252, 515
• GCD of 475, 120, 760, 854
• GCD of 196, 865, 322, 451
• GCD of 349, 919, 474, 298
• GCD of 697, 648, 464, 596

Given numbers are 314, 368, 390, 322
The greatest common divisor of numbers 314, 368, 390, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 368, 390, 322 is 2.

1. What is the GCD of 314, 368, 390, 322?

GCD of given numbers 314, 368, 390, 322 is 2

2. How to calculate the greatest common divisor of 314, 368, 390, 322?

We can find the highest common divisor of 314, 368, 390, 322 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 314, 368, 390, 322 i.e 2.

3. How can I use the GCD of 314, 368, 390, 322Calculator?

Out the numbers 314, 368, 390, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.