GCD of 204, 345, 344, 318 Calculator

Given Input numbers are 204, 345, 344, 318

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

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (204, 345, 344, 318) = 1.

Given numbers are 204, 345, 344, 318

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 318 are 2 x 3 x 53

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

Given numbers are 204, 345, 344, 318

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

Apply this formula for all numbers.

Step1:

LCM(204, 345) = 23460

GCD(204, 345) = ( 204 x 345 ) / 23460

= 204 / 345

= 204

Step2:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3

Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

So, Greatest Common Divisor of 204, 345, 344, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 761, 513, 932
• GCD of 609, 420, 350, 412
• GCD of 421, 908, 833, 267
• GCD of 121, 278, 413, 939
• GCD of 939, 889, 161, 422

Given numbers are 204, 345, 344, 318
The greatest common divisor of numbers 204, 345, 344, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 345, 344, 318 is 1.

1. What is the GCD of 204, 345, 344, 318?

GCD of given numbers 204, 345, 344, 318 is 1

2. How to calculate the greatest common divisor of 204, 345, 344, 318?

We can find the highest common divisor of 204, 345, 344, 318 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 204, 345, 344, 318 i.e 1.

3. How can I use the GCD of 204, 345, 344, 318Calculator?

Out the numbers 204, 345, 344, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.