GCD of 338, 284, 486, 198 Calculator

Given Input numbers are 338, 284, 486, 198

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 284, 486, 198) = 2.

Given numbers are 338, 284, 486, 198

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 284 are 2 x 2 x 71

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 338, 284, 486, 198 is 2.

Given numbers are 338, 284, 486, 198

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

Apply this formula for all numbers.

Step1:

LCM(338, 284) = 47996

GCD(338, 284) = ( 338 x 284 ) / 47996

= 338 / 284

= 338

Step2:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 338, 284, 486, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 758, 830, 272
• GCD of 336, 405, 973, 428
• GCD of 803, 868, 386, 905
• GCD of 489, 407, 215, 300
• GCD of 999, 910, 993, 683

Given numbers are 338, 284, 486, 198
The greatest common divisor of numbers 338, 284, 486, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 284, 486, 198 is 2.

1. What is the GCD of 338, 284, 486, 198?

GCD of given numbers 338, 284, 486, 198 is 2

2. How to calculate the greatest common divisor of 338, 284, 486, 198?

We can find the highest common divisor of 338, 284, 486, 198 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 338, 284, 486, 198 i.e 2.

3. How can I use the GCD of 338, 284, 486, 198Calculator?

Out the numbers 338, 284, 486, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.