GCD of 400, 342, 168 Calculator

Given Input numbers are 400, 342, 168

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Greatest Common Divisior

We found the divisors of 400, 342, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 342, 168 is 2.

Therefore, GCD of numbers 400, 342, 168 is 2

Given Input Data is 400, 342, 168

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 342 is 2 x 3 x 3 x 19

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

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(400, 342) = 68400

GCD(400, 342) = ( 400 x 342 ) / 68400

GCD(400, 342) = 136800 / 68400

GCD(400, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

GCD of 400, 342, 168 is 2

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1. What is the GCD of 400, 342, 168?

GCD of 400, 342, 168 is 2

2. Where do I get the detailed procedure to find GCD of 400, 342, 168?

You can find a detailed procedure to find GCD of 400, 342, 168 on our page.

3. How to find GCD of 400, 342, 168 on a calculator?

You can find the GCD of 400, 342, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.