GCD of 16, 56, 12 Calculator

Given Input numbers are 16, 56, 12

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

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 12 :

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

1, 2, 3, 4, 6, 12

GCD of numbers is the greatest common divisor

So, the GCD (16, 56, 12) = 4.

Given numbers are 16, 56, 12

The list of prime factors of all numbers are

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 12 are 2 x 2 x 3

The highest common occurrence is 2²

Therefore, GCD of 16, 56, 12 is 4.

Given numbers are 16, 56, 12

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

Apply this formula for all numbers.

Step1:

LCM(16, 56) = 112

GCD(16, 56) = ( 16 x 56 ) / 112

= 16 / 56

= 16

Step2:

LCM(8, 12) = 24

GCD(8, 12) = ( 8 x 12 ) / 24

= 8 / 12

= 8

So, Greatest Common Divisor of 16, 56, 12 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 71, 26
• GCD of 27, 86, 56
• GCD of 17, 90, 46
• GCD of 42, 73, 94
• GCD of 41, 42, 65

Given numbers are 16, 56, 12
The greatest common divisor of numbers 16, 56, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 16, 56, 12 is 4.

1. What is the GCD of 16, 56, 12?

GCD of given numbers 16, 56, 12 is 4

2. How to calculate the greatest common divisor of 16, 56, 12?

We can find the highest common divisor of 16, 56, 12 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 16, 56, 12 i.e 4.

3. How can I use the GCD of 16, 56, 12Calculator?

Out the numbers 16, 56, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.