Where do I get the detailed procedure to find GCD of 612, 792, 126?

You can find a detailed procedure to find GCD of 612, 792, 126 on our page.

How to find GCD of 612, 792, 126 on a calculator?

You can find the GCD of 612, 792, 126 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 612, 792, 126 Calculator

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

Online GCD Calculator is useful to find the GCD of 612, 792, 126 quickly. Get the easiest ways to solve the greatest common divisor of 612, 792, 126 i.e 18 in different methods as follows.

How to Find GCD of Numbers 612, 792, 126 with Factoring?

Given Input numbers are 612, 792, 126

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

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (612, 792, 126) = 18.

Find GCD of 612, 792, 126 using Prime Factorization

Given numbers are 612, 792, 126

The list of prime factors of all numbers are

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 612, 792, 126 is 18.

Steps to Calculate GCD of 612, 792, 126 using LCM Formula

Given numbers are 612, 792, 126

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

Apply this formula for all numbers.

Step1:

LCM(612, 792) = 13464

GCD(612, 792) = ( 612 x 792 ) / 13464

= 612 / 792

= 612

Step2:

LCM(36, 126) = 252

GCD(36, 126) = ( 36 x 126 ) / 252

= 36 / 126

= 36

So, Greatest Common Divisor of 612, 792, 126 is 18

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 612, 792, 126

Given numbers are 612, 792, 126
The greatest common divisor of numbers 612, 792, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 792, 126 is 18.

FAQs on GCD of 612, 792, 126 Calculator

1. What is the GCD of 612, 792, 126?

GCD of given numbers 612, 792, 126 is 18

2. How to calculate the greatest common divisor of 612, 792, 126?

We can find the highest common divisor of 612, 792, 126 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 612, 792, 126 i.e 18.

3. How can I use the GCD of 612, 792, 126Calculator?

Out the numbers 612, 792, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.