GCD of 104, 184, 308, 384 Calculator

Given Input numbers are 104, 184, 308, 384

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (104, 184, 308, 384) = 4.

Given numbers are 104, 184, 308, 384

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 104, 184, 308, 384 is 4.

Given numbers are 104, 184, 308, 384

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

Apply this formula for all numbers.

Step1:

LCM(104, 184) = 2392

GCD(104, 184) = ( 104 x 184 ) / 2392

= 104 / 184

= 104

Step2:

LCM(8, 308) = 616

GCD(8, 308) = ( 8 x 308 ) / 616

= 8 / 308

= 8

Step3:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

So, Greatest Common Divisor of 104, 184, 308, 384 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 898, 775, 993
• GCD of 878, 586, 987, 442
• GCD of 158, 923, 958, 900
• GCD of 722, 425, 359, 863
• GCD of 540, 111, 855, 491

Given numbers are 104, 184, 308, 384
The greatest common divisor of numbers 104, 184, 308, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 184, 308, 384 is 4.

1. What is the GCD of 104, 184, 308, 384?

GCD of given numbers 104, 184, 308, 384 is 4

2. How to calculate the greatest common divisor of 104, 184, 308, 384?

We can find the highest common divisor of 104, 184, 308, 384 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 104, 184, 308, 384 i.e 4.

3. How can I use the GCD of 104, 184, 308, 384Calculator?

Out the numbers 104, 184, 308, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.