GCD of 166, 338, 80, 105 Calculator

Given Input numbers are 166, 338, 80, 105

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 166, 338, 80, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 338, 80, 105 is 1.

Therefore, GCD of numbers 166, 338, 80, 105 is 1

Given Input Data is 166, 338, 80, 105

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 105 is 3 x 5 x 7

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, 338) = 28054

GCD(166, 338) = ( 166 x 338 ) / 28054

GCD(166, 338) = 56108 / 28054

GCD(166, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 166, 338, 80, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 209, 65, 710
• GCD of 272, 428, 23, 865
• GCD of 373, 647, 54, 639
• GCD of 853, 785, 94, 949
• GCD of 236, 678, 55, 449

1. What is the GCD of 166, 338, 80, 105?

GCD of 166, 338, 80, 105 is 1

2. Where do I get the detailed procedure to find GCD of 166, 338, 80, 105?

You can find a detailed procedure to find GCD of 166, 338, 80, 105 on our page.

3. How to find GCD of 166, 338, 80, 105 on a calculator?

You can find the GCD of 166, 338, 80, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.