GCD of 516, 267, 648 Calculator

Given Input numbers are 516, 267, 648

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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

Greatest Common Divisior

We found the divisors of 516, 267, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 267, 648 is 3.

Therefore, GCD of numbers 516, 267, 648 is 3

Given Input Data is 516, 267, 648

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 267 is 3 x 89

Prime Factorization of 648 is 2 x 2 x 2 x 3 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(516, 267) = 45924

GCD(516, 267) = ( 516 x 267 ) / 45924

GCD(516, 267) = 137772 / 45924

GCD(516, 267) = 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

GCD of 516, 267, 648 is 3

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1. What is the GCD of 516, 267, 648?

GCD of 516, 267, 648 is 3

2. Where do I get the detailed procedure to find GCD of 516, 267, 648?

You can find a detailed procedure to find GCD of 516, 267, 648 on our page.

3. How to find GCD of 516, 267, 648 on a calculator?

You can find the GCD of 516, 267, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.