GCD of 938, 230, 217 Calculator

Given Input numbers are 938, 230, 217

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 938, 230, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 230, 217 is 1.

Therefore, GCD of numbers 938, 230, 217 is 1

Given Input Data is 938, 230, 217

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 217 is 7 x 31

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(938, 230) = 107870

GCD(938, 230) = ( 938 x 230 ) / 107870

GCD(938, 230) = 215740 / 107870

GCD(938, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 217

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

LCM(2, 217) = 434

GCD(2, 217) = ( 2 x 217 ) / 434

GCD(2, 217) = 434 / 434

GCD(2, 217) = 1

GCD of 938, 230, 217 is 1

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1. What is the GCD of 938, 230, 217?

GCD of 938, 230, 217 is 1

2. Where do I get the detailed procedure to find GCD of 938, 230, 217?

You can find a detailed procedure to find GCD of 938, 230, 217 on our page.

3. How to find GCD of 938, 230, 217 on a calculator?

You can find the GCD of 938, 230, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.