Where do I get the detailed procedure to find GCD of 822, 771, 15?

You can find a detailed procedure to find GCD of 822, 771, 15 on our page.

How to find GCD of 822, 771, 15 on a calculator?

You can find the GCD of 822, 771, 15 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 822, 771, 15 Calculator

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

Online GCD Calculator is useful to find the GCD of 822, 771, 15 quickly. Get the easiest ways to solve the greatest common divisor of 822, 771, 15 i.e 3 in different methods as follows.

How to Find GCD of Numbers 822, 771, 15 with Factoring?

Given Input numbers are 822, 771, 15

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

Divisors of 822 :

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

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

GCD of numbers is the greatest common divisor

So, the GCD (822, 771, 15) = 3.

Find GCD of 822, 771, 15 using Prime Factorization

Given numbers are 822, 771, 15

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 771 are 3 x 257

Prime factors of 15 are 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 822, 771, 15 is 3.

Steps to Calculate GCD of 822, 771, 15 using LCM Formula

Given numbers are 822, 771, 15

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

Apply this formula for all numbers.

Step1:

LCM(822, 771) = 211254

GCD(822, 771) = ( 822 x 771 ) / 211254

= 822 / 771

= 822

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

So, Greatest Common Divisor of 822, 771, 15 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 822, 771, 15

Given numbers are 822, 771, 15
The greatest common divisor of numbers 822, 771, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 771, 15 is 3.

FAQs on GCD of 822, 771, 15 Calculator

1. What is the GCD of 822, 771, 15?

GCD of given numbers 822, 771, 15 is 3

2. How to calculate the greatest common divisor of 822, 771, 15?

We can find the highest common divisor of 822, 771, 15 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 822, 771, 15 i.e 3.

3. How can I use the GCD of 822, 771, 15Calculator?

Out the numbers 822, 771, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.