GCD of 216, 942, 46, 688 Calculator

Given Input numbers are 216, 942, 46, 688

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 216, 942, 46, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 942, 46, 688 is 2.

Therefore, GCD of numbers 216, 942, 46, 688 is 2

Given Input Data is 216, 942, 46, 688

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 942 is 2 x 3 x 157

Prime Factorization of 46 is 2 x 23

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(216, 942) = 33912

GCD(216, 942) = ( 216 x 942 ) / 33912

GCD(216, 942) = 203472 / 33912

GCD(216, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 216, 942, 46, 688 is 2

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1. What is the GCD of 216, 942, 46, 688?

GCD of 216, 942, 46, 688 is 2

2. Where do I get the detailed procedure to find GCD of 216, 942, 46, 688?

You can find a detailed procedure to find GCD of 216, 942, 46, 688 on our page.

3. How to find GCD of 216, 942, 46, 688 on a calculator?

You can find the GCD of 216, 942, 46, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.