GCD of 214, 753, 234 Calculator

Given Input numbers are 214, 753, 234

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 214, 753, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 753, 234 is 1.

Therefore, GCD of numbers 214, 753, 234 is 1

Given Input Data is 214, 753, 234

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 753 is 3 x 251

Prime Factorization of 234 is 2 x 3 x 3 x 13

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, 753) = 161142

GCD(214, 753) = ( 214 x 753 ) / 161142

GCD(214, 753) = 161142 / 161142

GCD(214, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 214, 753, 234 is 1

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1. What is the GCD of 214, 753, 234?

GCD of 214, 753, 234 is 1

2. Where do I get the detailed procedure to find GCD of 214, 753, 234?

You can find a detailed procedure to find GCD of 214, 753, 234 on our page.

3. How to find GCD of 214, 753, 234 on a calculator?

You can find the GCD of 214, 753, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.