GCD of 600, 678, 16, 168 Calculator

Given Input numbers are 600, 678, 16, 168

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 600, 678, 16, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 678, 16, 168 is 2.

Therefore, GCD of numbers 600, 678, 16, 168 is 2

Given Input Data is 600, 678, 16, 168

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(600, 678) = 67800

GCD(600, 678) = ( 600 x 678 ) / 67800

GCD(600, 678) = 406800 / 67800

GCD(600, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

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 600, 678, 16, 168 is 2

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1. What is the GCD of 600, 678, 16, 168?

GCD of 600, 678, 16, 168 is 2

2. Where do I get the detailed procedure to find GCD of 600, 678, 16, 168?

You can find a detailed procedure to find GCD of 600, 678, 16, 168 on our page.

3. How to find GCD of 600, 678, 16, 168 on a calculator?

You can find the GCD of 600, 678, 16, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.