Where do I get the detailed procedure to find GCD of 677, 814, 821?

You can find a detailed procedure to find GCD of 677, 814, 821 on our page.

How to find GCD of 677, 814, 821 on a calculator?

You can find the GCD of 677, 814, 821 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 677, 814, 821 Calculator

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

Online GCD Calculator is useful to find the GCD of 677, 814, 821 quickly. Get the easiest ways to solve the greatest common divisor of 677, 814, 821 i.e 1 in different methods as follows.

How to Find GCD of Numbers 677, 814, 821 with Factoring?

Given Input numbers are 677, 814, 821

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

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 821 :

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

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (677, 814, 821) = 1.

Find GCD of 677, 814, 821 using Prime Factorization

Given numbers are 677, 814, 821

The list of prime factors of all numbers are

Prime factors of 677 are 677

Prime factors of 814 are 2 x 11 x 37

Prime factors of 821 are 821

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

Steps to Calculate GCD of 677, 814, 821 using LCM Formula

Given numbers are 677, 814, 821

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

Apply this formula for all numbers.

Step1:

LCM(677, 814) = 551078

GCD(677, 814) = ( 677 x 814 ) / 551078

= 677 / 814

= 677

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 677, 814, 821 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 677, 814, 821

Given numbers are 677, 814, 821
The greatest common divisor of numbers 677, 814, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 814, 821 is 1.

FAQs on GCD of 677, 814, 821 Calculator

1. What is the GCD of 677, 814, 821?

GCD of given numbers 677, 814, 821 is 1

2. How to calculate the greatest common divisor of 677, 814, 821?

We can find the highest common divisor of 677, 814, 821 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 677, 814, 821 i.e 1.

3. How can I use the GCD of 677, 814, 821Calculator?

Out the numbers 677, 814, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.