GCD of 112, 634, 212 Calculator

Given Input numbers are 112, 634, 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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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, 634, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 634, 212 is 2.

Therefore, GCD of numbers 112, 634, 212 is 2

Given Input Data is 112, 634, 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 634 is 2 x 317

Prime Factorization of 212 is 2 x 2 x 53

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(112, 634) = 35504

GCD(112, 634) = ( 112 x 634 ) / 35504

GCD(112, 634) = 71008 / 35504

GCD(112, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 112, 634, 212 is 2

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1. What is the GCD of 112, 634, 212?

GCD of 112, 634, 212 is 2

2. Where do I get the detailed procedure to find GCD of 112, 634, 212?

You can find a detailed procedure to find GCD of 112, 634, 212 on our page.

3. How to find GCD of 112, 634, 212 on a calculator?

You can find the GCD of 112, 634, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.