Greatest Common Factor of 4416/488, 5084/5829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4416/488, 5084/5829

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 4416/488,5084/5829

Given fractions are 4416/488,5084/5829

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 4416,5084

Greatest Common Factor of Numerators i.e. GCF of 4416,5084 is 4 .

LCM of Denominators means LCM of 488,5829 as per the given fractions.

LCM of 488,5829 is 2844552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4416,5084

GCF of Fractions 4416/488,5084/5829 is 4/2844552

2 4416, 5084
2 2208, 2542
1104, 1271

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4416,5084 By Matching Biggest Common Factor Method

Greatest Common Factor of 4416,5084 By Matching Biggest Common Factor Method

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1,2,4,31,41,62,82,124,164,1271,2542,5084

Greatest Common Factor

We found the factors 4416,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 4416,5084 is 4.

Lets's calculate LCM of 488,5829

Given numbers has no common factors except 1. So, there LCM is their product i.e 2844552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2844552

Therefore, the GCF of Fractions 4416/488,5084/5829 is 4/2844552

Least Common Multiple of 488,5829 with GCF Formula

Least Common Multiple of 488,5829 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 488,5829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,5829) = 1

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

GCF(488,5829) x common factors =1 x 1 = 1

LCM(488,5829) = ( 488 × 5829 ) / 1

LCM(488,5829) = 2844552 / 1

LCM(488,5829) = 2844552


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 4416/488, 5084/5829

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 4416/488, 5084/5829?

Answer: GCF of Numerators as per given numbers 4416/488, 5084/5829 is

GCF of Numerators i.e. for 4416,5084 is 4

LCM of denominators i.e. for 488,5829 is 2844552.

Thus, GCF of Fractions is 4/2844552.Finally, GCF of Fractions for 4416/488, 5084/5829 is 4/2844552.