GCD of 166, 204, 752, 830 Calculator

Given Input numbers are 166, 204, 752, 830

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 166, 204, 752, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 204, 752, 830 is 2.

Therefore, GCD of numbers 166, 204, 752, 830 is 2

Given Input Data is 166, 204, 752, 830

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 830 is 2 x 5 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 204) = 16932

GCD(166, 204) = ( 166 x 204 ) / 16932

GCD(166, 204) = 33864 / 16932

GCD(166, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 166, 204, 752, 830 is 2

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1. What is the GCD of 166, 204, 752, 830?

GCD of 166, 204, 752, 830 is 2

2. Where do I get the detailed procedure to find GCD of 166, 204, 752, 830?

You can find a detailed procedure to find GCD of 166, 204, 752, 830 on our page.

3. How to find GCD of 166, 204, 752, 830 on a calculator?

You can find the GCD of 166, 204, 752, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.