GCD of 17, 188, 138, 106 Calculator

Given Input numbers are 17, 188, 138, 106

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 188

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

1, 2, 4, 47, 94, 188

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 17, 188, 138, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 188, 138, 106 is 1.

Therefore, GCD of numbers 17, 188, 138, 106 is 1

Given Input Data is 17, 188, 138, 106

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

Prime Factorization of 17 is 17

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 106 is 2 x 53

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, 188) = 3196

GCD(17, 188) = ( 17 x 188 ) / 3196

GCD(17, 188) = 3196 / 3196

GCD(17, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 17, 188, 138, 106 is 1

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• GCD of 86, 247, 714, 881
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• GCD of 27, 206, 283, 557

1. What is the GCD of 17, 188, 138, 106?

GCD of 17, 188, 138, 106 is 1

2. Where do I get the detailed procedure to find GCD of 17, 188, 138, 106?

You can find a detailed procedure to find GCD of 17, 188, 138, 106 on our page.

3. How to find GCD of 17, 188, 138, 106 on a calculator?

You can find the GCD of 17, 188, 138, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.