GCD of 216, 966, 138 Calculator

Given Input numbers are 216, 966, 138

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

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 216, 966, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 966, 138 is 6.

Therefore, GCD of numbers 216, 966, 138 is 6

Given Input Data is 216, 966, 138

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(216, 966) = 34776

GCD(216, 966) = ( 216 x 966 ) / 34776

GCD(216, 966) = 208656 / 34776

GCD(216, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 138

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

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

GCD(6, 138) = 828 / 138

GCD(6, 138) = 6

GCD of 216, 966, 138 is 6

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1. What is the GCD of 216, 966, 138?

GCD of 216, 966, 138 is 6

2. Where do I get the detailed procedure to find GCD of 216, 966, 138?

You can find a detailed procedure to find GCD of 216, 966, 138 on our page.

3. How to find GCD of 216, 966, 138 on a calculator?

You can find the GCD of 216, 966, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.