GCD of 120, 992, 216 Calculator

Given Input numbers are 120, 992, 216

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Greatest Common Divisior

We found the divisors of 120, 992, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 992, 216 is 8.

Therefore, GCD of numbers 120, 992, 216 is 8

Given Input Data is 120, 992, 216

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

Step1:

Let's calculate the GCD of first two numbers

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

LCM(120, 992) = 14880

GCD(120, 992) = ( 120 x 992 ) / 14880

GCD(120, 992) = 119040 / 14880

GCD(120, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 216

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

LCM(8, 216) = 216

GCD(8, 216) = ( 8 x 216 ) / 216

GCD(8, 216) = 1728 / 216

GCD(8, 216) = 8

GCD of 120, 992, 216 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 313, 429
• GCD of 124, 851, 299
• GCD of 794, 635, 189
• GCD of 958, 279, 259
• GCD of 108, 928, 111

1. What is the GCD of 120, 992, 216?

GCD of 120, 992, 216 is 8

2. Where do I get the detailed procedure to find GCD of 120, 992, 216?

You can find a detailed procedure to find GCD of 120, 992, 216 on our page.

3. How to find GCD of 120, 992, 216 on a calculator?

You can find the GCD of 120, 992, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.