GCD of 214, 533, 214, 112 Calculator

Given Input numbers are 214, 533, 214, 112

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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

Greatest Common Divisior

We found the divisors of 214, 533, 214, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 533, 214, 112 is 1.

Therefore, GCD of numbers 214, 533, 214, 112 is 1

Given Input Data is 214, 533, 214, 112

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 533 is 13 x 41

Prime Factorization of 214 is 2 x 107

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

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(214, 533) = 114062

GCD(214, 533) = ( 214 x 533 ) / 114062

GCD(214, 533) = 114062 / 114062

GCD(214, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 214, 533, 214, 112 is 1

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1. What is the GCD of 214, 533, 214, 112?

GCD of 214, 533, 214, 112 is 1

2. Where do I get the detailed procedure to find GCD of 214, 533, 214, 112?

You can find a detailed procedure to find GCD of 214, 533, 214, 112 on our page.

3. How to find GCD of 214, 533, 214, 112 on a calculator?

You can find the GCD of 214, 533, 214, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.