GCD of 854, 329, 198, 204 Calculator

Given Input numbers are 854, 329, 198, 204

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (854, 329, 198, 204) = 1.

Given numbers are 854, 329, 198, 204

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 329 are 7 x 47

Prime factors of 198 are 2 x 3 x 3 x 11

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

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

Given numbers are 854, 329, 198, 204

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

Apply this formula for all numbers.

Step1:

LCM(854, 329) = 40138

GCD(854, 329) = ( 854 x 329 ) / 40138

= 854 / 329

= 854

Step2:

LCM(7, 198) = 1386

GCD(7, 198) = ( 7 x 198 ) / 1386

= 7 / 198

= 7

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 854, 329, 198, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 774, 483, 230
• GCD of 169, 647, 893, 488
• GCD of 755, 974, 295, 919
• GCD of 591, 917, 772, 934
• GCD of 845, 447, 293, 761

Given numbers are 854, 329, 198, 204
The greatest common divisor of numbers 854, 329, 198, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 329, 198, 204 is 1.

1. What is the GCD of 854, 329, 198, 204?

GCD of given numbers 854, 329, 198, 204 is 1

2. How to calculate the greatest common divisor of 854, 329, 198, 204?

We can find the highest common divisor of 854, 329, 198, 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 854, 329, 198, 204 i.e 1.

3. How can I use the GCD of 854, 329, 198, 204Calculator?

Out the numbers 854, 329, 198, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.