Greatest Common Factor of 4818/762, 4943/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4818/762, 4943/723

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 4818/762,4943/723

Given fractions are 4818/762,4943/723

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 4818,4943

Greatest Common Factor of Numerators i.e. GCF of 4818,4943 is 1 .

LCM of Denominators means LCM of 762,723 as per the given fractions.

LCM of 762,723 is 183642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4818,4943

GCF of Fractions 4818/762,4943/723 is 1/183642

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

Greatest Common Factor of 4818,4943 By Matching Biggest Common Factor Method

Greatest Common Factor of 4818,4943 By Matching Biggest Common Factor Method

Factors of 4818

List of positive integer factors of 4818 that divides 4818 without a remainder.

1,2,3,6,11,22,33,66,73,146,219,438,803,1606,2409,4818

Factors of 4943

List of positive integer factors of 4943 that divides 4943 without a remainder.

1,4943

Greatest Common Factor

We found the factors 4818,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 4818,4943 is 1.

Lets's calculate LCM of 762,723

3 762, 723
254, 241

∴ So the LCM of the given numbers is 3 x 254 x 241 = 183642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183642

Therefore, the GCF of Fractions 4818/762,4943/723 is 1/183642

Least Common Multiple of 762,723 with GCF Formula

Least Common Multiple of 762,723 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 762,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,723) = 3

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

GCF(762,723) x common factors =3 x 1 = 3

LCM(762,723) = ( 762 × 723 ) / 3

LCM(762,723) = 550926 / 3

LCM(762,723) = 183642


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 4818/762, 4943/723

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 4818/762, 4943/723?

Answer: GCF of Numerators as per given numbers 4818/762, 4943/723 is

GCF of Numerators i.e. for 4818,4943 is 1

LCM of denominators i.e. for 762,723 is 183642.

Thus, GCF of Fractions is 1/183642.Finally, GCF of Fractions for 4818/762, 4943/723 is 1/183642.