GCD of 166, 106, 748, 219 Calculator

Given Input numbers are 166, 106, 748, 219

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 106

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

1, 2, 53, 106

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 166, 106, 748, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 106, 748, 219 is 1.

Therefore, GCD of numbers 166, 106, 748, 219 is 1

Given Input Data is 166, 106, 748, 219

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 106 is 2 x 53

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 219 is 3 x 73

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(166, 106) = 8798

GCD(166, 106) = ( 166 x 106 ) / 8798

GCD(166, 106) = 17596 / 8798

GCD(166, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 219

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

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

GCD(2, 219) = 438 / 438

GCD(2, 219) = 1

GCD of 166, 106, 748, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 287, 939, 108
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• GCD of 182, 885, 142, 669
• GCD of 106, 144, 597, 433

1. What is the GCD of 166, 106, 748, 219?

GCD of 166, 106, 748, 219 is 1

2. Where do I get the detailed procedure to find GCD of 166, 106, 748, 219?

You can find a detailed procedure to find GCD of 166, 106, 748, 219 on our page.

3. How to find GCD of 166, 106, 748, 219 on a calculator?

You can find the GCD of 166, 106, 748, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.