GCD of 112, 596, 21, 212 Calculator

Given Input numbers are 112, 596, 21, 212

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 112, 596, 21, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 596, 21, 212 is 1.

Therefore, GCD of numbers 112, 596, 21, 212 is 1

Given Input Data is 112, 596, 21, 212

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 21 is 3 x 7

Prime Factorization of 212 is 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(112, 596) = 16688

GCD(112, 596) = ( 112 x 596 ) / 16688

GCD(112, 596) = 66752 / 16688

GCD(112, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 112, 596, 21, 212 is 1

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• GCD of 141, 327, 92, 313
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1. What is the GCD of 112, 596, 21, 212?

GCD of 112, 596, 21, 212 is 1

2. Where do I get the detailed procedure to find GCD of 112, 596, 21, 212?

You can find a detailed procedure to find GCD of 112, 596, 21, 212 on our page.

3. How to find GCD of 112, 596, 21, 212 on a calculator?

You can find the GCD of 112, 596, 21, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.