GCD of 214, 212, 523 Calculator

Given Input numbers are 214, 212, 523

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 212

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

1, 2, 4, 53, 106, 212

Divisors of 523

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

1, 523

Greatest Common Divisior

We found the divisors of 214, 212, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 212, 523 is 1.

Therefore, GCD of numbers 214, 212, 523 is 1

Given Input Data is 214, 212, 523

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 523 is 523

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, 212) = 22684

GCD(214, 212) = ( 214 x 212 ) / 22684

GCD(214, 212) = 45368 / 22684

GCD(214, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

GCD of 214, 212, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 945, 913
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• GCD of 409, 158, 522
• GCD of 475, 483, 948
• GCD of 102, 154, 885

1. What is the GCD of 214, 212, 523?

GCD of 214, 212, 523 is 1

2. Where do I get the detailed procedure to find GCD of 214, 212, 523?

You can find a detailed procedure to find GCD of 214, 212, 523 on our page.

3. How to find GCD of 214, 212, 523 on a calculator?

You can find the GCD of 214, 212, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.