GCD of 233, 165, 42, 214 Calculator

Given Input numbers are 233, 165, 42, 214

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 233, 165, 42, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 165, 42, 214 is 1.

Therefore, GCD of numbers 233, 165, 42, 214 is 1

Given Input Data is 233, 165, 42, 214

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

Prime Factorization of 233 is 233

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 42 is 2 x 3 x 7

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(233, 165) = 38445

GCD(233, 165) = ( 233 x 165 ) / 38445

GCD(233, 165) = 38445 / 38445

GCD(233, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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 233, 165, 42, 214 is 1

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1. What is the GCD of 233, 165, 42, 214?

GCD of 233, 165, 42, 214 is 1

2. Where do I get the detailed procedure to find GCD of 233, 165, 42, 214?

You can find a detailed procedure to find GCD of 233, 165, 42, 214 on our page.

3. How to find GCD of 233, 165, 42, 214 on a calculator?

You can find the GCD of 233, 165, 42, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.