GCD of 168, 424, 208 Calculator

Given Input numbers are 168, 424, 208

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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

Greatest Common Divisior

We found the divisors of 168, 424, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 424, 208 is 8.

Therefore, GCD of numbers 168, 424, 208 is 8

Given Input Data is 168, 424, 208

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 424 is 2 x 2 x 2 x 53

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

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 424) = 8904

GCD(168, 424) = ( 168 x 424 ) / 8904

GCD(168, 424) = 71232 / 8904

GCD(168, 424) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 208

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

LCM(8, 208) = 208

GCD(8, 208) = ( 8 x 208 ) / 208

GCD(8, 208) = 1664 / 208

GCD(8, 208) = 8

GCD of 168, 424, 208 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 164, 670
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• GCD of 227, 667, 945
• GCD of 546, 611, 647

1. What is the GCD of 168, 424, 208?

GCD of 168, 424, 208 is 8

2. Where do I get the detailed procedure to find GCD of 168, 424, 208?

You can find a detailed procedure to find GCD of 168, 424, 208 on our page.

3. How to find GCD of 168, 424, 208 on a calculator?

You can find the GCD of 168, 424, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.