GCD of 168, 638, 208, 830 Calculator

Given Input numbers are 168, 638, 208, 830

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 168, 638, 208, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 638, 208, 830 is 2.

Therefore, GCD of numbers 168, 638, 208, 830 is 2

Given Input Data is 168, 638, 208, 830

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(168, 638) = 53592

GCD(168, 638) = ( 168 x 638 ) / 53592

GCD(168, 638) = 107184 / 53592

GCD(168, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 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 168, 638, 208, 830 is 2

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1. What is the GCD of 168, 638, 208, 830?

GCD of 168, 638, 208, 830 is 2

2. Where do I get the detailed procedure to find GCD of 168, 638, 208, 830?

You can find a detailed procedure to find GCD of 168, 638, 208, 830 on our page.

3. How to find GCD of 168, 638, 208, 830 on a calculator?

You can find the GCD of 168, 638, 208, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.