Where do I get the detailed procedure to find GCD of 109, 348, 821?

You can find a detailed procedure to find GCD of 109, 348, 821 on our page.

How to find GCD of 109, 348, 821 on a calculator?

You can find the GCD of 109, 348, 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 109, 348, 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 109, 348, 821 quickly. Get the easiest ways to solve the greatest common divisor of 109, 348, 821 i.e 1 in different methods as follows.

How to Find GCD of Numbers 109, 348, 821 with Factoring?

Given Input numbers are 109, 348, 821

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 (109, 348, 821) = 1.

Find GCD of 109, 348, 821 using Prime Factorization

Given numbers are 109, 348, 821

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 348 are 2 x 2 x 3 x 29

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 109, 348, 821 using LCM Formula

Given numbers are 109, 348, 821

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

Apply this formula for all numbers.

Step1:

LCM(109, 348) = 37932

GCD(109, 348) = ( 109 x 348 ) / 37932

= 109 / 348

= 109

Step2:

LCM(1, 821) = 821

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

= 1 / 821

= 1

So, Greatest Common Divisor of 109, 348, 821 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 109, 348, 821

Given numbers are 109, 348, 821
The greatest common divisor of numbers 109, 348, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 348, 821 is 1.

FAQs on GCD of 109, 348, 821 Calculator

1. What is the GCD of 109, 348, 821?

GCD of given numbers 109, 348, 821 is 1

2. How to calculate the greatest common divisor of 109, 348, 821?

We can find the highest common divisor of 109, 348, 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 109, 348, 821 i.e 1.

3. How can I use the GCD of 109, 348, 821Calculator?

Out the numbers 109, 348, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.