Where do I get the detailed procedure to find GCD of 821, 314, 851?

You can find a detailed procedure to find GCD of 821, 314, 851 on our page.

How to find GCD of 821, 314, 851 on a calculator?

You can find the GCD of 821, 314, 851 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 821, 314, 851 Calculator

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

Online GCD Calculator is useful to find the GCD of 821, 314, 851 quickly. Get the easiest ways to solve the greatest common divisor of 821, 314, 851 i.e 1 in different methods as follows.

How to Find GCD of Numbers 821, 314, 851 with Factoring?

Given Input numbers are 821, 314, 851

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

GCD of numbers is the greatest common divisor

So, the GCD (821, 314, 851) = 1.

Find GCD of 821, 314, 851 using Prime Factorization

Given numbers are 821, 314, 851

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 314 are 2 x 157

Prime factors of 851 are 23 x 37

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 821, 314, 851 using LCM Formula

Given numbers are 821, 314, 851

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

Apply this formula for all numbers.

Step1:

LCM(821, 314) = 257794

GCD(821, 314) = ( 821 x 314 ) / 257794

= 821 / 314

= 821

Step2:

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

= 1 / 851

= 1

So, Greatest Common Divisor of 821, 314, 851 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 821, 314, 851

Given numbers are 821, 314, 851
The greatest common divisor of numbers 821, 314, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 314, 851 is 1.

FAQs on GCD of 821, 314, 851 Calculator

1. What is the GCD of 821, 314, 851?

GCD of given numbers 821, 314, 851 is 1

2. How to calculate the greatest common divisor of 821, 314, 851?

We can find the highest common divisor of 821, 314, 851 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 821, 314, 851 i.e 1.

3. How can I use the GCD of 821, 314, 851Calculator?

Out the numbers 821, 314, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.