GCD of 216, 112, 456, 248 Calculator

Given Input numbers are 216, 112, 456, 248

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 112 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

GCD of numbers is the greatest common divisor

So, the GCD (216, 112, 456, 248) = 8.

Given numbers are 216, 112, 456, 248

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 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 248 are 2 x 2 x 2 x 31

The highest common occurrence is 2³

Therefore, GCD of 216, 112, 456, 248 is 8.

Given numbers are 216, 112, 456, 248

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

Apply this formula for all numbers.

Step1:

LCM(216, 112) = 3024

GCD(216, 112) = ( 216 x 112 ) / 3024

= 216 / 112

= 216

Step2:

LCM(8, 456) = 456

GCD(8, 456) = ( 8 x 456 ) / 456

= 8 / 456

= 8

Step3:

LCM(8, 248) = 248

GCD(8, 248) = ( 8 x 248 ) / 248

= 8 / 248

= 8

So, Greatest Common Divisor of 216, 112, 456, 248 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 811, 778, 389
• GCD of 311, 976, 108, 193
• GCD of 845, 566, 122, 318
• GCD of 378, 129, 560, 201
• GCD of 492, 153, 592, 832

Given numbers are 216, 112, 456, 248
The greatest common divisor of numbers 216, 112, 456, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 112, 456, 248 is 8.

1. What is the GCD of 216, 112, 456, 248?

GCD of given numbers 216, 112, 456, 248 is 8

2. How to calculate the greatest common divisor of 216, 112, 456, 248?

We can find the highest common divisor of 216, 112, 456, 248 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, 112, 456, 248 i.e 8.

3. How can I use the GCD of 216, 112, 456, 248Calculator?

Out the numbers 216, 112, 456, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.