LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 821, 854, 297, 299 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, 854, 297, 299 quickly. Get the easiest ways to solve the greatest common divisor of 821, 854, 297, 299 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 854, 297, 299 with Factoring?

Given Input numbers are 821, 854, 297, 299

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299


GCD of numbers is the greatest common divisor

So, the GCD (821, 854, 297, 299) = 1.

Find GCD of 821, 854, 297, 299 using Prime Factorization

Given numbers are 821, 854, 297, 299

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 854 are 2 x 7 x 61

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 299 are 13 x 23

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

Steps to Calculate GCD of 821, 854, 297, 299 using LCM Formula

Given numbers are 821, 854, 297, 299

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

Apply this formula for all numbers.

Step1:

LCM(821, 854) = 701134

GCD(821, 854) = ( 821 x 854 ) / 701134

= 821 / 854

= 821


Step2:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1


Step3:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1


So, Greatest Common Divisor of 821, 854, 297, 299 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 854, 297, 299

Given numbers are 821, 854, 297, 299
The greatest common divisor of numbers 821, 854, 297, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 854, 297, 299 is 1.

FAQs on GCD of 821, 854, 297, 299 Calculator

1. What is the GCD of 821, 854, 297, 299?

GCD of given numbers 821, 854, 297, 299 is 1


2. How to calculate the greatest common divisor of 821, 854, 297, 299?

We can find the highest common divisor of 821, 854, 297, 299 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, 854, 297, 299 i.e 1.


3. How can I use the GCD of 821, 854, 297, 299Calculator?

Out the numbers 821, 854, 297, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.