Where do I get the detailed procedure to find GCD of 795, 705, 996?

You can find a detailed procedure to find GCD of 795, 705, 996 on our page.

How to find GCD of 795, 705, 996 on a calculator?

You can find the GCD of 795, 705, 996 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 795, 705, 996 Calculator

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

Online GCD Calculator is useful to find the GCD of 795, 705, 996 quickly. Get the easiest ways to solve the greatest common divisor of 795, 705, 996 i.e 3 in different methods as follows.

How to Find GCD of Numbers 795, 705, 996 with Factoring?

Given Input numbers are 795, 705, 996

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

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (795, 705, 996) = 3.

Find GCD of 795, 705, 996 using Prime Factorization

Given numbers are 795, 705, 996

The list of prime factors of all numbers are

Prime factors of 795 are 3 x 5 x 53

Prime factors of 705 are 3 x 5 x 47

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 795, 705, 996 is 3.

Steps to Calculate GCD of 795, 705, 996 using LCM Formula

Given numbers are 795, 705, 996

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

Apply this formula for all numbers.

Step1:

LCM(795, 705) = 37365

GCD(795, 705) = ( 795 x 705 ) / 37365

= 795 / 705

= 795

Step2:

LCM(15, 996) = 4980

GCD(15, 996) = ( 15 x 996 ) / 4980

= 15 / 996

= 15

So, Greatest Common Divisor of 795, 705, 996 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 795, 705, 996

Given numbers are 795, 705, 996
The greatest common divisor of numbers 795, 705, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 705, 996 is 3.

FAQs on GCD of 795, 705, 996 Calculator

1. What is the GCD of 795, 705, 996?

GCD of given numbers 795, 705, 996 is 3

2. How to calculate the greatest common divisor of 795, 705, 996?

We can find the highest common divisor of 795, 705, 996 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 795, 705, 996 i.e 3.

3. How can I use the GCD of 795, 705, 996Calculator?

Out the numbers 795, 705, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.