GCD of 204, 238, 684, 301 Calculator

Given Input numbers are 204, 238, 684, 301

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (204, 238, 684, 301) = 1.

Given numbers are 204, 238, 684, 301

The list of prime factors of all numbers are

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

Prime factors of 238 are 2 x 7 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 301 are 7 x 43

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

Given numbers are 204, 238, 684, 301

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

Apply this formula for all numbers.

Step1:

LCM(204, 238) = 1428

GCD(204, 238) = ( 204 x 238 ) / 1428

= 204 / 238

= 204

Step2:

LCM(34, 684) = 11628

GCD(34, 684) = ( 34 x 684 ) / 11628

= 34 / 684

= 34

Step3:

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

= 2 / 301

= 2

So, Greatest Common Divisor of 204, 238, 684, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 265, 430, 358
• GCD of 236, 916, 228, 368
• GCD of 100, 499, 599, 128
• GCD of 924, 905, 334, 857
• GCD of 895, 497, 847, 750

Given numbers are 204, 238, 684, 301
The greatest common divisor of numbers 204, 238, 684, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 238, 684, 301 is 1.

1. What is the GCD of 204, 238, 684, 301?

GCD of given numbers 204, 238, 684, 301 is 1

2. How to calculate the greatest common divisor of 204, 238, 684, 301?

We can find the highest common divisor of 204, 238, 684, 301 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, 238, 684, 301 i.e 1.

3. How can I use the GCD of 204, 238, 684, 301Calculator?

Out the numbers 204, 238, 684, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.