GCD of 238, 171, 33, 210 Calculator

Given Input numbers are 238, 171, 33, 210

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 238, 171, 33, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 171, 33, 210 is 1.

Therefore, GCD of numbers 238, 171, 33, 210 is 1

Given Input Data is 238, 171, 33, 210

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 33 is 3 x 11

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(238, 171) = 40698

GCD(238, 171) = ( 238 x 171 ) / 40698

GCD(238, 171) = 40698 / 40698

GCD(238, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 238, 171, 33, 210 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 248, 44, 471
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• GCD of 934, 307, 41, 102

1. What is the GCD of 238, 171, 33, 210?

GCD of 238, 171, 33, 210 is 1

2. Where do I get the detailed procedure to find GCD of 238, 171, 33, 210?

You can find a detailed procedure to find GCD of 238, 171, 33, 210 on our page.

3. How to find GCD of 238, 171, 33, 210 on a calculator?

You can find the GCD of 238, 171, 33, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.