GCD of 384, 304, 348, 402 Calculator

Given Input numbers are 384, 304, 348, 402

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

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

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (384, 304, 348, 402) = 2.

Given numbers are 384, 304, 348, 402

The list of prime factors of all numbers are

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

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 384, 304, 348, 402 is 2.

Given numbers are 384, 304, 348, 402

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

Apply this formula for all numbers.

Step1:

LCM(384, 304) = 7296

GCD(384, 304) = ( 384 x 304 ) / 7296

= 384 / 304

= 384

Step2:

LCM(16, 348) = 1392

GCD(16, 348) = ( 16 x 348 ) / 1392

= 16 / 348

= 16

Step3:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

So, Greatest Common Divisor of 384, 304, 348, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 995, 904, 145
• GCD of 120, 497, 674, 275
• GCD of 309, 914, 998, 707
• GCD of 466, 488, 725, 909
• GCD of 179, 484, 892, 193

Given numbers are 384, 304, 348, 402
The greatest common divisor of numbers 384, 304, 348, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 304, 348, 402 is 2.

1. What is the GCD of 384, 304, 348, 402?

GCD of given numbers 384, 304, 348, 402 is 2

2. How to calculate the greatest common divisor of 384, 304, 348, 402?

We can find the highest common divisor of 384, 304, 348, 402 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 384, 304, 348, 402 i.e 2.

3. How can I use the GCD of 384, 304, 348, 402Calculator?

Out the numbers 384, 304, 348, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.