GCD of 17, 438, 101, 223 Calculator

Given Input numbers are 17, 438, 101, 223

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 17, 438, 101, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 438, 101, 223 is 1.

Therefore, GCD of numbers 17, 438, 101, 223 is 1

Given Input Data is 17, 438, 101, 223

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

Prime Factorization of 17 is 17

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 101 is 101

Prime Factorization of 223 is 223

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(17, 438) = 7446

GCD(17, 438) = ( 17 x 438 ) / 7446

GCD(17, 438) = 7446 / 7446

GCD(17, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 17, 438, 101, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 275, 287, 771
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• GCD of 86, 992, 424, 127
• GCD of 62, 902, 537, 314

1. What is the GCD of 17, 438, 101, 223?

GCD of 17, 438, 101, 223 is 1

2. Where do I get the detailed procedure to find GCD of 17, 438, 101, 223?

You can find a detailed procedure to find GCD of 17, 438, 101, 223 on our page.

3. How to find GCD of 17, 438, 101, 223 on a calculator?

You can find the GCD of 17, 438, 101, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.