GCD of 912, 363, 348, 699 Calculator

Given Input numbers are 912, 363, 348, 699

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (912, 363, 348, 699) = 3.

Given numbers are 912, 363, 348, 699

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 363 are 3 x 11 x 11

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

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 912, 363, 348, 699 is 3.

Given numbers are 912, 363, 348, 699

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

Apply this formula for all numbers.

Step1:

LCM(912, 363) = 110352

GCD(912, 363) = ( 912 x 363 ) / 110352

= 912 / 363

= 912

Step2:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 912, 363, 348, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 658, 345, 880
• GCD of 405, 923, 421, 455
• GCD of 146, 252, 878, 182
• GCD of 449, 205, 629, 753
• GCD of 372, 652, 395, 451

Given numbers are 912, 363, 348, 699
The greatest common divisor of numbers 912, 363, 348, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 363, 348, 699 is 3.

1. What is the GCD of 912, 363, 348, 699?

GCD of given numbers 912, 363, 348, 699 is 3

2. How to calculate the greatest common divisor of 912, 363, 348, 699?

We can find the highest common divisor of 912, 363, 348, 699 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 912, 363, 348, 699 i.e 3.

3. How can I use the GCD of 912, 363, 348, 699Calculator?

Out the numbers 912, 363, 348, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.