GCD of 118, 684, 68, 216 Calculator

Given Input numbers are 118, 684, 68, 216

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 118, 684, 68, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 684, 68, 216 is 2.

Therefore, GCD of numbers 118, 684, 68, 216 is 2

Given Input Data is 118, 684, 68, 216

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 68 is 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(118, 684) = 40356

GCD(118, 684) = ( 118 x 684 ) / 40356

GCD(118, 684) = 80712 / 40356

GCD(118, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 118, 684, 68, 216 is 2

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• GCD of 877, 634, 66, 164
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1. What is the GCD of 118, 684, 68, 216?

GCD of 118, 684, 68, 216 is 2

2. Where do I get the detailed procedure to find GCD of 118, 684, 68, 216?

You can find a detailed procedure to find GCD of 118, 684, 68, 216 on our page.

3. How to find GCD of 118, 684, 68, 216 on a calculator?

You can find the GCD of 118, 684, 68, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.