GCD of 112, 387, 523, 214 Calculator

Given Input numbers are 112, 387, 523, 214

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 112, 387, 523, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 387, 523, 214 is 1.

Therefore, GCD of numbers 112, 387, 523, 214 is 1

Given Input Data is 112, 387, 523, 214

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 387 is 3 x 3 x 43

Prime Factorization of 523 is 523

Prime Factorization of 214 is 2 x 107

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, 387) = 43344

GCD(112, 387) = ( 112 x 387 ) / 43344

GCD(112, 387) = 43344 / 43344

GCD(112, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

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

GCD of 112, 387, 523, 214 is 1

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• GCD of 325, 660, 559, 521
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1. What is the GCD of 112, 387, 523, 214?

GCD of 112, 387, 523, 214 is 1

2. Where do I get the detailed procedure to find GCD of 112, 387, 523, 214?

You can find a detailed procedure to find GCD of 112, 387, 523, 214 on our page.

3. How to find GCD of 112, 387, 523, 214 on a calculator?

You can find the GCD of 112, 387, 523, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.