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GCD of 821, 330, 204, 365 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, 330, 204, 365 quickly. Get the easiest ways to solve the greatest common divisor of 821, 330, 204, 365 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 330, 204, 365 with Factoring?

Given Input numbers are 821, 330, 204, 365

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365


GCD of numbers is the greatest common divisor

So, the GCD (821, 330, 204, 365) = 1.

Find GCD of 821, 330, 204, 365 using Prime Factorization

Given numbers are 821, 330, 204, 365

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 365 are 5 x 73

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

Steps to Calculate GCD of 821, 330, 204, 365 using LCM Formula

Given numbers are 821, 330, 204, 365

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

Apply this formula for all numbers.

Step1:

LCM(821, 330) = 270930

GCD(821, 330) = ( 821 x 330 ) / 270930

= 821 / 330

= 821


Step2:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1


Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


So, Greatest Common Divisor of 821, 330, 204, 365 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 330, 204, 365

Given numbers are 821, 330, 204, 365
The greatest common divisor of numbers 821, 330, 204, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 330, 204, 365 is 1.

FAQs on GCD of 821, 330, 204, 365 Calculator

1. What is the GCD of 821, 330, 204, 365?

GCD of given numbers 821, 330, 204, 365 is 1


2. How to calculate the greatest common divisor of 821, 330, 204, 365?

We can find the highest common divisor of 821, 330, 204, 365 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, 330, 204, 365 i.e 1.


3. How can I use the GCD of 821, 330, 204, 365Calculator?

Out the numbers 821, 330, 204, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.