GCD of 348, 384, 687, 192 Calculator

Given Input numbers are 348, 384, 687, 192

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

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 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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 384, 687, 192) = 3.

Given numbers are 348, 384, 687, 192

The list of prime factors of all numbers are

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

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

Prime factors of 687 are 3 x 229

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 348, 384, 687, 192 is 3.

Given numbers are 348, 384, 687, 192

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

Apply this formula for all numbers.

Step1:

LCM(348, 384) = 11136

GCD(348, 384) = ( 348 x 384 ) / 11136

= 348 / 384

= 348

Step2:

LCM(12, 687) = 2748

GCD(12, 687) = ( 12 x 687 ) / 2748

= 12 / 687

= 12

Step3:

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

= 3 / 192

= 3

So, Greatest Common Divisor of 348, 384, 687, 192 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 540, 560, 396
• GCD of 783, 970, 180, 549
• GCD of 297, 935, 562, 384
• GCD of 433, 755, 193, 923
• GCD of 420, 177, 886, 842

Given numbers are 348, 384, 687, 192
The greatest common divisor of numbers 348, 384, 687, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 384, 687, 192 is 3.

1. What is the GCD of 348, 384, 687, 192?

GCD of given numbers 348, 384, 687, 192 is 3

2. How to calculate the greatest common divisor of 348, 384, 687, 192?

We can find the highest common divisor of 348, 384, 687, 192 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 348, 384, 687, 192 i.e 3.

3. How can I use the GCD of 348, 384, 687, 192Calculator?

Out the numbers 348, 384, 687, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.