GCD of 346, 390, 12, 992 Calculator

Given Input numbers are 346, 390, 12, 992

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (346, 390, 12, 992) = 2.

Given numbers are 346, 390, 12, 992

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 12 are 2 x 2 x 3

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 346, 390, 12, 992 is 2.

Given numbers are 346, 390, 12, 992

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

Apply this formula for all numbers.

Step1:

LCM(346, 390) = 67470

GCD(346, 390) = ( 346 x 390 ) / 67470

= 346 / 390

= 346

Step2:

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

= 2 / 12

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 346, 390, 12, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 788, 86, 940
• GCD of 105, 119, 23, 734
• GCD of 186, 434, 31, 422
• GCD of 689, 750, 45, 260
• GCD of 746, 916, 34, 212

Given numbers are 346, 390, 12, 992
The greatest common divisor of numbers 346, 390, 12, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 390, 12, 992 is 2.

1. What is the GCD of 346, 390, 12, 992?

GCD of given numbers 346, 390, 12, 992 is 2

2. How to calculate the greatest common divisor of 346, 390, 12, 992?

We can find the highest common divisor of 346, 390, 12, 992 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 346, 390, 12, 992 i.e 2.

3. How can I use the GCD of 346, 390, 12, 992Calculator?

Out the numbers 346, 390, 12, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.