GCD of 904, 518, 646, 198 Calculator

Given Input numbers are 904, 518, 646, 198

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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 (904, 518, 646, 198) = 2.

Given numbers are 904, 518, 646, 198

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 518 are 2 x 7 x 37

Prime factors of 646 are 2 x 17 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 904, 518, 646, 198 is 2.

Given numbers are 904, 518, 646, 198

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

Apply this formula for all numbers.

Step1:

LCM(904, 518) = 234136

GCD(904, 518) = ( 904 x 518 ) / 234136

= 904 / 518

= 904

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 904, 518, 646, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 437, 333, 197
• GCD of 670, 779, 581, 808
• GCD of 288, 510, 675, 318
• GCD of 864, 162, 174, 136
• GCD of 956, 174, 574, 858

Given numbers are 904, 518, 646, 198
The greatest common divisor of numbers 904, 518, 646, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 518, 646, 198 is 2.

1. What is the GCD of 904, 518, 646, 198?

GCD of given numbers 904, 518, 646, 198 is 2

2. How to calculate the greatest common divisor of 904, 518, 646, 198?

We can find the highest common divisor of 904, 518, 646, 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 904, 518, 646, 198 i.e 2.

3. How can I use the GCD of 904, 518, 646, 198Calculator?

Out the numbers 904, 518, 646, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.