GCD of 216, 546, 112, 864 Calculator

Given Input numbers are 216, 546, 112, 864

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (216, 546, 112, 864) = 2.

Given numbers are 216, 546, 112, 864

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 216, 546, 112, 864 is 2.

Given numbers are 216, 546, 112, 864

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

Apply this formula for all numbers.

Step1:

LCM(216, 546) = 19656

GCD(216, 546) = ( 216 x 546 ) / 19656

= 216 / 546

= 216

Step2:

LCM(6, 112) = 336

GCD(6, 112) = ( 6 x 112 ) / 336

= 6 / 112

= 6

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 216, 546, 112, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 350, 666, 225
• GCD of 485, 497, 991, 135
• GCD of 419, 237, 672, 852
• GCD of 574, 926, 392, 622
• GCD of 176, 924, 479, 211

Given numbers are 216, 546, 112, 864
The greatest common divisor of numbers 216, 546, 112, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 546, 112, 864 is 2.

1. What is the GCD of 216, 546, 112, 864?

GCD of given numbers 216, 546, 112, 864 is 2

2. How to calculate the greatest common divisor of 216, 546, 112, 864?

We can find the highest common divisor of 216, 546, 112, 864 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 216, 546, 112, 864 i.e 2.

3. How can I use the GCD of 216, 546, 112, 864Calculator?

Out the numbers 216, 546, 112, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.