GCD of 516, 285, 750 Calculator

Given Input numbers are 516, 285, 750

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 516, 285, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 285, 750 is 3.

Therefore, GCD of numbers 516, 285, 750 is 3

Given Input Data is 516, 285, 750

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 285 is 3 x 5 x 19

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(516, 285) = 49020

GCD(516, 285) = ( 516 x 285 ) / 49020

GCD(516, 285) = 147060 / 49020

GCD(516, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

GCD of 516, 285, 750 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 110, 751
• GCD of 853, 257, 851
• GCD of 795, 585, 571
• GCD of 782, 297, 206
• GCD of 517, 179, 209

1. What is the GCD of 516, 285, 750?

GCD of 516, 285, 750 is 3

2. Where do I get the detailed procedure to find GCD of 516, 285, 750?

You can find a detailed procedure to find GCD of 516, 285, 750 on our page.

3. How to find GCD of 516, 285, 750 on a calculator?

You can find the GCD of 516, 285, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.