GCD of 120, 198, 828, 304 Calculator

Given Input numbers are 120, 198, 828, 304

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 304 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 198, 828, 304) = 2.

Given numbers are 120, 198, 828, 304

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 120, 198, 828, 304 is 2.

Given numbers are 120, 198, 828, 304

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

Apply this formula for all numbers.

Step1:

LCM(120, 198) = 3960

GCD(120, 198) = ( 120 x 198 ) / 3960

= 120 / 198

= 120

Step2:

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

= 6 / 828

= 6

Step3:

LCM(6, 304) = 912

GCD(6, 304) = ( 6 x 304 ) / 912

= 6 / 304

= 6

So, Greatest Common Divisor of 120, 198, 828, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 419, 486, 225
• GCD of 655, 714, 305, 826
• GCD of 498, 779, 530, 218
• GCD of 305, 832, 645, 619
• GCD of 905, 198, 290, 728

Given numbers are 120, 198, 828, 304
The greatest common divisor of numbers 120, 198, 828, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 198, 828, 304 is 2.

1. What is the GCD of 120, 198, 828, 304?

GCD of given numbers 120, 198, 828, 304 is 2

2. How to calculate the greatest common divisor of 120, 198, 828, 304?

We can find the highest common divisor of 120, 198, 828, 304 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 120, 198, 828, 304 i.e 2.

3. How can I use the GCD of 120, 198, 828, 304Calculator?

Out the numbers 120, 198, 828, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.