GCD of 168, 336, 96, 417 Calculator

Given Input numbers are 168, 336, 96, 417

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 168, 336, 96, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 336, 96, 417 is 3.

Therefore, GCD of numbers 168, 336, 96, 417 is 3

Given Input Data is 168, 336, 96, 417

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 417 is 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 336) = 336

GCD(168, 336) = ( 168 x 336 ) / 336

GCD(168, 336) = 56448 / 336

GCD(168, 336) = 168

Step2:

Here we consider the GCD from the above i.e. 168 as first number and the next as 96

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

LCM(168, 96) = 672

GCD(168, 96) = ( 168 x 96 ) / 672

GCD(168, 96) = 16128 / 672

GCD(168, 96) = 24

Step3:

Here we consider the GCD from the above i.e. 24 as first number and the next as 417

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

LCM(24, 417) = 3336

GCD(24, 417) = ( 24 x 417 ) / 3336

GCD(24, 417) = 10008 / 3336

GCD(24, 417) = 3

GCD of 168, 336, 96, 417 is 3

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• GCD of 132, 208, 77, 827
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• GCD of 170, 483, 26, 189

1. What is the GCD of 168, 336, 96, 417?

GCD of 168, 336, 96, 417 is 3

2. Where do I get the detailed procedure to find GCD of 168, 336, 96, 417?

You can find a detailed procedure to find GCD of 168, 336, 96, 417 on our page.

3. How to find GCD of 168, 336, 96, 417 on a calculator?

You can find the GCD of 168, 336, 96, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.