Where do I get the detailed procedure to find GCD of 821, 105, 357?

You can find a detailed procedure to find GCD of 821, 105, 357 on our page.

How to find GCD of 821, 105, 357 on a calculator?

You can find the GCD of 821, 105, 357 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, 105, 357 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, 105, 357 quickly. Get the easiest ways to solve the greatest common divisor of 821, 105, 357 i.e 1 in different methods as follows.

How to Find GCD of Numbers 821, 105, 357 with Factoring?

Given Input numbers are 821, 105, 357

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (821, 105, 357) = 1.

Find GCD of 821, 105, 357 using Prime Factorization

Given numbers are 821, 105, 357

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 105 are 3 x 5 x 7

Prime factors of 357 are 3 x 7 x 17

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

Steps to Calculate GCD of 821, 105, 357 using LCM Formula

Given numbers are 821, 105, 357

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

Apply this formula for all numbers.

Step1:

LCM(821, 105) = 86205

GCD(821, 105) = ( 821 x 105 ) / 86205

= 821 / 105

= 821

Step2:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1

So, Greatest Common Divisor of 821, 105, 357 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 821, 105, 357

Given numbers are 821, 105, 357
The greatest common divisor of numbers 821, 105, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 105, 357 is 1.

FAQs on GCD of 821, 105, 357 Calculator

1. What is the GCD of 821, 105, 357?

GCD of given numbers 821, 105, 357 is 1

2. How to calculate the greatest common divisor of 821, 105, 357?

We can find the highest common divisor of 821, 105, 357 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, 105, 357 i.e 1.

3. How can I use the GCD of 821, 105, 357Calculator?

Out the numbers 821, 105, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.