Where do I get the detailed procedure to find GCD of 705, 762, 822?

You can find a detailed procedure to find GCD of 705, 762, 822 on our page.

How to find GCD of 705, 762, 822 on a calculator?

You can find the GCD of 705, 762, 822 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 705, 762, 822 Calculator

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

Online GCD Calculator is useful to find the GCD of 705, 762, 822 quickly. Get the easiest ways to solve the greatest common divisor of 705, 762, 822 i.e 3 in different methods as follows.

How to Find GCD of Numbers 705, 762, 822 with Factoring?

Given Input numbers are 705, 762, 822

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

Divisors of 705 :

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

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (705, 762, 822) = 3.

Find GCD of 705, 762, 822 using Prime Factorization

Given numbers are 705, 762, 822

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 762 are 2 x 3 x 127

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 705, 762, 822 is 3.

Steps to Calculate GCD of 705, 762, 822 using LCM Formula

Given numbers are 705, 762, 822

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

Apply this formula for all numbers.

Step1:

LCM(705, 762) = 179070

GCD(705, 762) = ( 705 x 762 ) / 179070

= 705 / 762

= 705

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

So, Greatest Common Divisor of 705, 762, 822 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 705, 762, 822

Given numbers are 705, 762, 822
The greatest common divisor of numbers 705, 762, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 762, 822 is 3.

FAQs on GCD of 705, 762, 822 Calculator

1. What is the GCD of 705, 762, 822?

GCD of given numbers 705, 762, 822 is 3

2. How to calculate the greatest common divisor of 705, 762, 822?

We can find the highest common divisor of 705, 762, 822 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 705, 762, 822 i.e 3.

3. How can I use the GCD of 705, 762, 822Calculator?

Out the numbers 705, 762, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.