Greatest Common Factor of 5478/14, 5829/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5478/14, 5829/353

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 5478/14,5829/353

Given fractions are 5478/14,5829/353

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 5478,5829

Greatest Common Factor of Numerators i.e. GCF of 5478,5829 is 3 .

LCM of Denominators means LCM of 14,353 as per the given fractions.

LCM of 14,353 is 4942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5478,5829

GCF of Fractions 5478/14,5829/353 is 3/4942

3 5478, 5829
1826, 1943

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5478,5829 By Matching Biggest Common Factor Method

Greatest Common Factor of 5478,5829 By Matching Biggest Common Factor Method

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1,3,29,67,87,201,1943,5829

Greatest Common Factor

We found the factors 5478,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,5829 is 3.

Lets's calculate LCM of 14,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 4942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4942

Therefore, the GCF of Fractions 5478/14,5829/353 is 3/4942

Least Common Multiple of 14,353 with GCF Formula

Least Common Multiple of 14,353 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 14,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,353) = 1

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

GCF(14,353) x common factors =1 x 1 = 1

LCM(14,353) = ( 14 × 353 ) / 1

LCM(14,353) = 4942 / 1

LCM(14,353) = 4942


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 5478/14, 5829/353

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 5478/14, 5829/353?

Answer: GCF of Numerators as per given numbers 5478/14, 5829/353 is

GCF of Numerators i.e. for 5478,5829 is 3

LCM of denominators i.e. for 14,353 is 4942.

Thus, GCF of Fractions is 3/4942.Finally, GCF of Fractions for 5478/14, 5829/353 is 3/4942.