GCD of 516, 248, 200 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 516, 248, 200 i.e. 4 largest integer that divides all the numbers equally.

GCD of 516, 248, 200 is 4

GCD(516, 248, 200) = 4

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

GCD of

GCD of numbers 516, 248, 200 is 4

GCD(516, 248, 200) = 4

GCD of 516,248,200 Calculator

GCDof 516,248,200 is 4

Given Input numbers are 516, 248, 200

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Greatest Common Divisior

We found the divisors of 516, 248, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 248, 200 is 4.

Therefore, GCD of numbers 516, 248, 200 is 4

Finding GCD of 516, 248, 200 using Prime Factorization

Given Input Data is 516, 248, 200

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 516, 248, 200 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(516, 248) = 31992

GCD(516, 248) = ( 516 x 248 ) / 31992

GCD(516, 248) = 127968 / 31992

GCD(516, 248) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 200

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

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

GCD(4, 200) = 800 / 200

GCD(4, 200) = 4

GCD of 516, 248, 200 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 516, 248, 200

1. What is the GCD of 516, 248, 200?

GCD of 516, 248, 200 is 4


2. Where do I get the detailed procedure to find GCD of 516, 248, 200?

You can find a detailed procedure to find GCD of 516, 248, 200 on our page.


3. How to find GCD of 516, 248, 200 on a calculator?

You can find the GCD of 516, 248, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.