Greatest Common Factor of 14/499, 550/163, 330/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/499, 550/163, 330/544

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 14/499,550/163,330/544

Given fractions are 14/499,550/163,330/544

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 14,550,330

Greatest Common Factor of Numerators i.e. GCF of 14,550,330 is 2 .

LCM of Denominators means LCM of 499,163,544 as per the given fractions.

LCM of 499,163,544 is 44247328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,550,330

GCF of Fractions 14/499,550/163,330/544 is 2/44247328

2 14, 550, 330
7, 275, 165

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,550,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,550,330 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

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

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

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

Greatest Common Factor

We found the factors 14,550,330 . The biggest common factor number is the GCF number.
So the greatest common factor 14,550,330 is 2.

Lets's calculate LCM of 499,163,544

Given numbers has no common factors except 1. So, there LCM is their product i.e 44247328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44247328

Therefore, the GCF of Fractions 14/499,550/163,330/544 is 2/44247328

Least Common Multiple of 499,163,544 with GCF Formula

Least Common Multiple of 499,163,544 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 499,163,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,163,544) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(499,163,544) x common factors =1 x 1 = 1

LCM(499,163,544) = ( 499 × 163 × 544 ) / 1

LCM(499,163,544) = 44247328 / 1

LCM(499,163,544) = 44247328


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 14/499, 550/163, 330/544

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 14/499, 550/163, 330/544?

Answer: GCF of Numerators as per given numbers 14/499, 550/163, 330/544 is

GCF of Numerators i.e. for 14,550,330 is 2

LCM of denominators i.e. for 499,163,544 is 44247328.

Thus, GCF of Fractions is 2/44247328.Finally, GCF of Fractions for 14/499, 550/163, 330/544 is 2/44247328.