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GCD of 821, 204, 42, 794 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, 204, 42, 794 quickly. Get the easiest ways to solve the greatest common divisor of 821, 204, 42, 794 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 204, 42, 794 with Factoring?

Given Input numbers are 821, 204, 42, 794

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 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 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794


GCD of numbers is the greatest common divisor

So, the GCD (821, 204, 42, 794) = 1.

Find GCD of 821, 204, 42, 794 using Prime Factorization

Given numbers are 821, 204, 42, 794

The list of prime factors of all numbers are

Prime factors of 821 are 821

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

Prime factors of 42 are 2 x 3 x 7

Prime factors of 794 are 2 x 397

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

Steps to Calculate GCD of 821, 204, 42, 794 using LCM Formula

Given numbers are 821, 204, 42, 794

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

Apply this formula for all numbers.

Step1:

LCM(821, 204) = 167484

GCD(821, 204) = ( 821 x 204 ) / 167484

= 821 / 204

= 821


Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1


Step3:

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

= 1 / 794

= 1


So, Greatest Common Divisor of 821, 204, 42, 794 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 204, 42, 794

Given numbers are 821, 204, 42, 794
The greatest common divisor of numbers 821, 204, 42, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 204, 42, 794 is 1.

FAQs on GCD of 821, 204, 42, 794 Calculator

1. What is the GCD of 821, 204, 42, 794?

GCD of given numbers 821, 204, 42, 794 is 1


2. How to calculate the greatest common divisor of 821, 204, 42, 794?

We can find the highest common divisor of 821, 204, 42, 794 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, 204, 42, 794 i.e 1.


3. How can I use the GCD of 821, 204, 42, 794Calculator?

Out the numbers 821, 204, 42, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.