GCD of 320, 846, 12, 422 Calculator

Given Input numbers are 320, 846, 12, 422

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 12 :

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

1, 2, 3, 4, 6, 12

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (320, 846, 12, 422) = 2.

Given numbers are 320, 846, 12, 422

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 12 are 2 x 2 x 3

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 320, 846, 12, 422 is 2.

Given numbers are 320, 846, 12, 422

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

Apply this formula for all numbers.

Step1:

LCM(320, 846) = 135360

GCD(320, 846) = ( 320 x 846 ) / 135360

= 320 / 846

= 320

Step2:

LCM(2, 12) = 12

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

= 2 / 12

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 320, 846, 12, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 609, 49, 550
• GCD of 881, 570, 36, 485
• GCD of 527, 434, 95, 101
• GCD of 506, 686, 41, 499
• GCD of 376, 144, 62, 797

Given numbers are 320, 846, 12, 422
The greatest common divisor of numbers 320, 846, 12, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 846, 12, 422 is 2.

1. What is the GCD of 320, 846, 12, 422?

GCD of given numbers 320, 846, 12, 422 is 2

2. How to calculate the greatest common divisor of 320, 846, 12, 422?

We can find the highest common divisor of 320, 846, 12, 422 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 320, 846, 12, 422 i.e 2.

3. How can I use the GCD of 320, 846, 12, 422Calculator?

Out the numbers 320, 846, 12, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.