Where do I get the detailed procedure to find GCD of 516, 132, 612?

You can find a detailed procedure to find GCD of 516, 132, 612 on our page.

How to find GCD of 516, 132, 612 on a calculator?

You can find the GCD of 516, 132, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 516, 132, 612 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 516, 132, 612 quickly. Get the easiest ways to solve the greatest common divisor of 516, 132, 612 i.e 12 in different methods as follows.

How to Find GCD of Numbers 516, 132, 612 with Factoring?

Given Input numbers are 516, 132, 612

In the factoring method, we have to find the divisors of all numbers

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (516, 132, 612) = 12.

Find GCD of 516, 132, 612 using Prime Factorization

Given numbers are 516, 132, 612

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2² x 3¹

Therefore, GCD of 516, 132, 612 is 12.

Steps to Calculate GCD of 516, 132, 612 using LCM Formula

Given numbers are 516, 132, 612

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(516, 132) = 5676

GCD(516, 132) = ( 516 x 132 ) / 5676

= 516 / 132

= 516

Step2:

LCM(12, 612) = 612

GCD(12, 612) = ( 12 x 612 ) / 612

= 12 / 612

= 12

So, Greatest Common Divisor of 516, 132, 612 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 516, 132, 612

Given numbers are 516, 132, 612
The greatest common divisor of numbers 516, 132, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 132, 612 is 12.

FAQs on GCD of 516, 132, 612 Calculator

1. What is the GCD of 516, 132, 612?

GCD of given numbers 516, 132, 612 is 12

2. How to calculate the greatest common divisor of 516, 132, 612?

We can find the highest common divisor of 516, 132, 612 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 516, 132, 612 i.e 12.

3. How can I use the GCD of 516, 132, 612Calculator?

Out the numbers 516, 132, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.