GCD of 17, 548, 814, 188 Calculator

Given Input numbers are 17, 548, 814, 188

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 17, 548, 814, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 548, 814, 188 is 1.

Therefore, GCD of numbers 17, 548, 814, 188 is 1

Given Input Data is 17, 548, 814, 188

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

Prime Factorization of 17 is 17

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 188 is 2 x 2 x 47

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, 548) = 9316

GCD(17, 548) = ( 17 x 548 ) / 9316

GCD(17, 548) = 9316 / 9316

GCD(17, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 17, 548, 814, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 217, 863, 206
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• GCD of 70, 731, 685, 495

1. What is the GCD of 17, 548, 814, 188?

GCD of 17, 548, 814, 188 is 1

2. Where do I get the detailed procedure to find GCD of 17, 548, 814, 188?

You can find a detailed procedure to find GCD of 17, 548, 814, 188 on our page.

3. How to find GCD of 17, 548, 814, 188 on a calculator?

You can find the GCD of 17, 548, 814, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.