GCD of 314, 480, 604, 204 Calculator

Given Input numbers are 314, 480, 604, 204

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (314, 480, 604, 204) = 2.

Given numbers are 314, 480, 604, 204

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 604 are 2 x 2 x 151

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 314, 480, 604, 204 is 2.

Given numbers are 314, 480, 604, 204

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

Apply this formula for all numbers.

Step1:

LCM(314, 480) = 75360

GCD(314, 480) = ( 314 x 480 ) / 75360

= 314 / 480

= 314

Step2:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 314, 480, 604, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 879, 391, 549
• GCD of 723, 252, 624, 390
• GCD of 188, 224, 859, 686
• GCD of 368, 622, 864, 453
• GCD of 787, 445, 327, 718

Given numbers are 314, 480, 604, 204
The greatest common divisor of numbers 314, 480, 604, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 480, 604, 204 is 2.

1. What is the GCD of 314, 480, 604, 204?

GCD of given numbers 314, 480, 604, 204 is 2

2. How to calculate the greatest common divisor of 314, 480, 604, 204?

We can find the highest common divisor of 314, 480, 604, 204 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, 480, 604, 204 i.e 2.

3. How can I use the GCD of 314, 480, 604, 204Calculator?

Out the numbers 314, 480, 604, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.