Greatest Common Factor of 4718/144, 4381/8443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4718/144, 4381/8443

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 4718/144,4381/8443

Given fractions are 4718/144,4381/8443

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 4718,4381

Greatest Common Factor of Numerators i.e. GCF of 4718,4381 is 337 .

LCM of Denominators means LCM of 144,8443 as per the given fractions.

LCM of 144,8443 is 1215792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4718,4381

GCF of Fractions 4718/144,4381/8443 is 337/1215792

337 4718, 4381
14, 13

∴ So the GCF of the given numbers is 337 = 337

Greatest Common Factor of 4718,4381 By Matching Biggest Common Factor Method

Greatest Common Factor of 4718,4381 By Matching Biggest Common Factor Method

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1,13,337,4381

Greatest Common Factor

We found the factors 4718,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 4718,4381 is 337.

Lets's calculate LCM of 144,8443

Given numbers has no common factors except 1. So, there LCM is their product i.e 1215792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 337/1215792

Therefore, the GCF of Fractions 4718/144,4381/8443 is 337/1215792

Least Common Multiple of 144,8443 with GCF Formula

Least Common Multiple of 144,8443 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 144,8443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,8443) = 1

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

GCF(144,8443) x common factors =1 x 1 = 1

LCM(144,8443) = ( 144 × 8443 ) / 1

LCM(144,8443) = 1215792 / 1

LCM(144,8443) = 1215792


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 4718/144, 4381/8443

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 4718/144, 4381/8443?

Answer: GCF of Numerators as per given numbers 4718/144, 4381/8443 is

GCF of Numerators i.e. for 4718,4381 is 337

LCM of denominators i.e. for 144,8443 is 1215792.

Thus, GCF of Fractions is 337/1215792.Finally, GCF of Fractions for 4718/144, 4381/8443 is 337/1215792.