Where do I get the detailed procedure to find GCD of 916, 678, 792?

You can find a detailed procedure to find GCD of 916, 678, 792 on our page.

How to find GCD of 916, 678, 792 on a calculator?

You can find the GCD of 916, 678, 792 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 916, 678, 792 Calculator

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

Online GCD Calculator is useful to find the GCD of 916, 678, 792 quickly. Get the easiest ways to solve the greatest common divisor of 916, 678, 792 i.e 2 in different methods as follows.

How to Find GCD of Numbers 916, 678, 792 with Factoring?

Given Input numbers are 916, 678, 792

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 678, 792) = 2.

Find GCD of 916, 678, 792 using Prime Factorization

Given numbers are 916, 678, 792

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 2¹

Therefore, GCD of 916, 678, 792 is 2.

Steps to Calculate GCD of 916, 678, 792 using LCM Formula

Given numbers are 916, 678, 792

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

Apply this formula for all numbers.

Step1:

LCM(916, 678) = 310524

GCD(916, 678) = ( 916 x 678 ) / 310524

= 916 / 678

= 916

Step2:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2

So, Greatest Common Divisor of 916, 678, 792 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 916, 678, 792

Given numbers are 916, 678, 792
The greatest common divisor of numbers 916, 678, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 678, 792 is 2.

FAQs on GCD of 916, 678, 792 Calculator

1. What is the GCD of 916, 678, 792?

GCD of given numbers 916, 678, 792 is 2

2. How to calculate the greatest common divisor of 916, 678, 792?

We can find the highest common divisor of 916, 678, 792 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 916, 678, 792 i.e 2.

3. How can I use the GCD of 916, 678, 792Calculator?

Out the numbers 916, 678, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.