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 996, 489, 348, 550 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 489, 348, 550 quickly. Get the easiest ways to solve the greatest common divisor of 996, 489, 348, 550 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 489, 348, 550 with Factoring?

Given Input numbers are 996, 489, 348, 550

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550


GCD of numbers is the greatest common divisor

So, the GCD (996, 489, 348, 550) = 1.

Find GCD of 996, 489, 348, 550 using Prime Factorization

Given numbers are 996, 489, 348, 550

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 489 are 3 x 163

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 550 are 2 x 5 x 5 x 11

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

Steps to Calculate GCD of 996, 489, 348, 550 using LCM Formula

Given numbers are 996, 489, 348, 550

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

Apply this formula for all numbers.

Step1:

LCM(996, 489) = 162348

GCD(996, 489) = ( 996 x 489 ) / 162348

= 996 / 489

= 996


Step2:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3


Step3:

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

= 3 / 550

= 3


So, Greatest Common Divisor of 996, 489, 348, 550 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 489, 348, 550

Given numbers are 996, 489, 348, 550
The greatest common divisor of numbers 996, 489, 348, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 489, 348, 550 is 1.

FAQs on GCD of 996, 489, 348, 550 Calculator

1. What is the GCD of 996, 489, 348, 550?

GCD of given numbers 996, 489, 348, 550 is 1


2. How to calculate the greatest common divisor of 996, 489, 348, 550?

We can find the highest common divisor of 996, 489, 348, 550 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 996, 489, 348, 550 i.e 1.


3. How can I use the GCD of 996, 489, 348, 550Calculator?

Out the numbers 996, 489, 348, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.