GCD of 600, 708, 16 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 600, 708, 16 i.e. 4 largest integer that divides all the numbers equally.

GCD of 600, 708, 16 is 4

GCD(600, 708, 16) = 4

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 600, 708, 16 is 4

GCD(600, 708, 16) = 4

GCD of 600,708,16 Calculator

GCDof 600,708,16 is 4

Given Input numbers are 600, 708, 16

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 600, 708, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 708, 16 is 4.

Therefore, GCD of numbers 600, 708, 16 is 4

Finding GCD of 600, 708, 16 using Prime Factorization

Given Input Data is 600, 708, 16

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 708 is 2 x 2 x 3 x 59

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 600, 708, 16 using LCM Formula

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, 708) = 35400

GCD(600, 708) = ( 600 x 708 ) / 35400

GCD(600, 708) = 424800 / 35400

GCD(600, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

GCD of 600, 708, 16 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 600, 708, 16

1. What is the GCD of 600, 708, 16?

GCD of 600, 708, 16 is 4

2. Where do I get the detailed procedure to find GCD of 600, 708, 16?

You can find a detailed procedure to find GCD of 600, 708, 16 on our page.

3. How to find GCD of 600, 708, 16 on a calculator?

You can find the GCD of 600, 708, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.