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 489, 822, 874, 284 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 489, 822, 874, 284 quickly. Get the easiest ways to solve the greatest common divisor of 489, 822, 874, 284 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 489, 822, 874, 284 with Factoring?

Given Input numbers are 489, 822, 874, 284

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284


GCD of numbers is the greatest common divisor

So, the GCD (489, 822, 874, 284) = 1.

Find GCD of 489, 822, 874, 284 using Prime Factorization

Given numbers are 489, 822, 874, 284

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 822 are 2 x 3 x 137

Prime factors of 874 are 2 x 19 x 23

Prime factors of 284 are 2 x 2 x 71

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

Steps to Calculate GCD of 489, 822, 874, 284 using LCM Formula

Given numbers are 489, 822, 874, 284

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

Apply this formula for all numbers.

Step1:

LCM(489, 822) = 133986

GCD(489, 822) = ( 489 x 822 ) / 133986

= 489 / 822

= 489


Step2:

LCM(3, 874) = 2622

GCD(3, 874) = ( 3 x 874 ) / 2622

= 3 / 874

= 3


Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1


So, Greatest Common Divisor of 489, 822, 874, 284 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 489, 822, 874, 284

Given numbers are 489, 822, 874, 284
The greatest common divisor of numbers 489, 822, 874, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 822, 874, 284 is 1.

FAQs on GCD of 489, 822, 874, 284 Calculator

1. What is the GCD of 489, 822, 874, 284?

GCD of given numbers 489, 822, 874, 284 is 1


2. How to calculate the greatest common divisor of 489, 822, 874, 284?

We can find the highest common divisor of 489, 822, 874, 284 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 489, 822, 874, 284 i.e 1.


3. How can I use the GCD of 489, 822, 874, 284Calculator?

Out the numbers 489, 822, 874, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.