GCD of 198, 304, 420, 884 Calculator

Given Input numbers are 198, 304, 420, 884

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

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (198, 304, 420, 884) = 2.

Given numbers are 198, 304, 420, 884

The list of prime factors of all numbers are

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 198, 304, 420, 884 is 2.

Given numbers are 198, 304, 420, 884

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

Apply this formula for all numbers.

Step1:

LCM(198, 304) = 30096

GCD(198, 304) = ( 198 x 304 ) / 30096

= 198 / 304

= 198

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 198, 304, 420, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 537, 171, 840
• GCD of 157, 828, 125, 731
• GCD of 108, 689, 674, 667
• GCD of 948, 266, 896, 411
• GCD of 535, 299, 813, 276

Given numbers are 198, 304, 420, 884
The greatest common divisor of numbers 198, 304, 420, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 304, 420, 884 is 2.

1. What is the GCD of 198, 304, 420, 884?

GCD of given numbers 198, 304, 420, 884 is 2

2. How to calculate the greatest common divisor of 198, 304, 420, 884?

We can find the highest common divisor of 198, 304, 420, 884 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 198, 304, 420, 884 i.e 2.

3. How can I use the GCD of 198, 304, 420, 884Calculator?

Out the numbers 198, 304, 420, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.