GCD of 825, 516, 648, 216 Calculator

Given Input numbers are 825, 516, 648, 216

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 825, 516, 648, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 516, 648, 216 is 3.

Therefore, GCD of numbers 825, 516, 648, 216 is 3

Given Input Data is 825, 516, 648, 216

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(825, 516) = 141900

GCD(825, 516) = ( 825 x 516 ) / 141900

GCD(825, 516) = 425700 / 141900

GCD(825, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 648

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

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

GCD(3, 648) = 1944 / 648

GCD(3, 648) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 825, 516, 648, 216 is 3

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1. What is the GCD of 825, 516, 648, 216?

GCD of 825, 516, 648, 216 is 3

2. Where do I get the detailed procedure to find GCD of 825, 516, 648, 216?

You can find a detailed procedure to find GCD of 825, 516, 648, 216 on our page.

3. How to find GCD of 825, 516, 648, 216 on a calculator?

You can find the GCD of 825, 516, 648, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.