Greatest Common Factor of 728/14, 4737/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/14, 4737/311

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 728/14,4737/311

Given fractions are 728/14,4737/311

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 728,4737

Greatest Common Factor of Numerators i.e. GCF of 728,4737 is 1 .

LCM of Denominators means LCM of 14,311 as per the given fractions.

LCM of 14,311 is 4354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,4737

GCF of Fractions 728/14,4737/311 is 1/4354

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 728,4737 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,4737 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 4737

List of positive integer factors of 4737 that divides 4737 without a remainder.

1,3,1579,4737

Greatest Common Factor

We found the factors 728,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 728,4737 is 1.

Lets's calculate LCM of 14,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 4354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4354

Therefore, the GCF of Fractions 728/14,4737/311 is 1/4354

Least Common Multiple of 14,311 with GCF Formula

Least Common Multiple of 14,311 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 14,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,311) = 1

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

GCF(14,311) x common factors =1 x 1 = 1

LCM(14,311) = ( 14 × 311 ) / 1

LCM(14,311) = 4354 / 1

LCM(14,311) = 4354


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 728/14, 4737/311

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 728/14, 4737/311?

Answer: GCF of Numerators as per given numbers 728/14, 4737/311 is

GCF of Numerators i.e. for 728,4737 is 1

LCM of denominators i.e. for 14,311 is 4354.

Thus, GCF of Fractions is 1/4354.Finally, GCF of Fractions for 728/14, 4737/311 is 1/4354.