GCD of 225, 276, 561, 516 Calculator

Given Input numbers are 225, 276, 561, 516

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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

Greatest Common Divisior

We found the divisors of 225, 276, 561, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 276, 561, 516 is 3.

Therefore, GCD of numbers 225, 276, 561, 516 is 3

Given Input Data is 225, 276, 561, 516

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 561 is 3 x 11 x 17

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

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(225, 276) = 20700

GCD(225, 276) = ( 225 x 276 ) / 20700

GCD(225, 276) = 62100 / 20700

GCD(225, 276) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

GCD of 225, 276, 561, 516 is 3

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1. What is the GCD of 225, 276, 561, 516?

GCD of 225, 276, 561, 516 is 3

2. Where do I get the detailed procedure to find GCD of 225, 276, 561, 516?

You can find a detailed procedure to find GCD of 225, 276, 561, 516 on our page.

3. How to find GCD of 225, 276, 561, 516 on a calculator?

You can find the GCD of 225, 276, 561, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.