GCD of 214, 527, 212, 694 Calculator

Given Input numbers are 214, 527, 212, 694

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 214, 527, 212, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 527, 212, 694 is 1.

Therefore, GCD of numbers 214, 527, 212, 694 is 1

Given Input Data is 214, 527, 212, 694

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 527 is 17 x 31

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 694 is 2 x 347

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, 527) = 112778

GCD(214, 527) = ( 214 x 527 ) / 112778

GCD(214, 527) = 112778 / 112778

GCD(214, 527) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 214, 527, 212, 694 is 1

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1. What is the GCD of 214, 527, 212, 694?

GCD of 214, 527, 212, 694 is 1

2. Where do I get the detailed procedure to find GCD of 214, 527, 212, 694?

You can find a detailed procedure to find GCD of 214, 527, 212, 694 on our page.

3. How to find GCD of 214, 527, 212, 694 on a calculator?

You can find the GCD of 214, 527, 212, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.