GCD of 212, 936, 42, 474 Calculator

Given Input numbers are 212, 936, 42, 474

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 212, 936, 42, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 936, 42, 474 is 2.

Therefore, GCD of numbers 212, 936, 42, 474 is 2

Given Input Data is 212, 936, 42, 474

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 474 is 2 x 3 x 79

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(212, 936) = 49608

GCD(212, 936) = ( 212 x 936 ) / 49608

GCD(212, 936) = 198432 / 49608

GCD(212, 936) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 212, 936, 42, 474 is 2

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1. What is the GCD of 212, 936, 42, 474?

GCD of 212, 936, 42, 474 is 2

2. Where do I get the detailed procedure to find GCD of 212, 936, 42, 474?

You can find a detailed procedure to find GCD of 212, 936, 42, 474 on our page.

3. How to find GCD of 212, 936, 42, 474 on a calculator?

You can find the GCD of 212, 936, 42, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.