GCD of 130, 171, 74, 166 Calculator

Given Input numbers are 130, 171, 74, 166

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 166

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

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 130, 171, 74, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 171, 74, 166 is 1.

Therefore, GCD of numbers 130, 171, 74, 166 is 1

Given Input Data is 130, 171, 74, 166

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 166 is 2 x 83

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(130, 171) = 22230

GCD(130, 171) = ( 130 x 171 ) / 22230

GCD(130, 171) = 22230 / 22230

GCD(130, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 130, 171, 74, 166 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 493, 20, 721
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• GCD of 584, 178, 46, 497
• GCD of 828, 354, 13, 720

1. What is the GCD of 130, 171, 74, 166?

GCD of 130, 171, 74, 166 is 1

2. Where do I get the detailed procedure to find GCD of 130, 171, 74, 166?

You can find a detailed procedure to find GCD of 130, 171, 74, 166 on our page.

3. How to find GCD of 130, 171, 74, 166 on a calculator?

You can find the GCD of 130, 171, 74, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.