GCD of 424, 946, 68, 216 Calculator

Given Input numbers are 424, 946, 68, 216

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 424, 946, 68, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 946, 68, 216 is 2.

Therefore, GCD of numbers 424, 946, 68, 216 is 2

Given Input Data is 424, 946, 68, 216

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 946 is 2 x 11 x 43

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(424, 946) = 200552

GCD(424, 946) = ( 424 x 946 ) / 200552

GCD(424, 946) = 401104 / 200552

GCD(424, 946) = 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 424, 946, 68, 216 is 2

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1. What is the GCD of 424, 946, 68, 216?

GCD of 424, 946, 68, 216 is 2

2. Where do I get the detailed procedure to find GCD of 424, 946, 68, 216?

You can find a detailed procedure to find GCD of 424, 946, 68, 216 on our page.

3. How to find GCD of 424, 946, 68, 216 on a calculator?

You can find the GCD of 424, 946, 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.